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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
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Work: Find the solution of equation ((3+5)/(1+1)+(4-1)(1-1/(1+2)))(X/(5-(1+2)(2-1))) = X+10 .
Question type: Equation
Solution:Original question:
| ( | ( | 3 | + | 5 | ) | ÷ | ( | 1 | + | 1 | ) | + | ( | 4 | − | 1 | ) | ( | 1 | − | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ) | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | = | X | + | 10 |
| ( | 3 | + | 5 | ) | ÷ | ( | 1 | + | 1 | ) | × | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | + | ( | 4 | − | 1 | ) | ( | 1 | − | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | = | X | + | 10 |
| Multiply both sides of the equation by: | ( | 1 | + | 1 | ) |
| ( | 3 | + | 5 | ) | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | + | ( | 4 | − | 1 | ) | ( | 1 | − | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | ( | 1 | + | 1 | ) | = | X | ( | 1 | + | 1 | ) | + | 10 | ( | 1 | + | 1 | ) |
| 3 | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | + | 5 | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | + | ( | 4 | − | 1 | ) | ( | 1 | − | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | ( | 1 | + | 1 | ) | = | X | ( | 1 | + | 1 | ) | + | 10 | ( | 1 | + | 1 | ) |
| 3 | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | + | 5 | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | + | ( | 4 | − | 1 | ) | ( | 1 | − | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | ( | 1 | + | 1 | ) | = | X | × | 1 | + | X | × | 1 | + | 10 | ( | 1 | + | 1 | ) |
| 3 | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | + | 5 | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | + | ( | 4 | − | 1 | ) | ( | 1 | − | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | ( | 1 | + | 1 | ) | = | 2 | X | + | 10 | ( | 1 | + | 1 | ) |
| 3 | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | + | 5 | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | + | ( | 4 | − | 1 | ) | ( | 1 | − | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | ( | 1 | + | 1 | ) | = | 2 | X | + | 10 | ( | 1 | + | 1 | ) |
| 3 | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | + | 5 | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | + | ( | 4 | − | 1 | ) | ( | 1 | − | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | ( | 1 | + | 1 | ) | = | 2 | X | + | 10 | × | 1 | + | 10 | × | 1 |
| 3 | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | + | 5 | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | + | ( | 4 | − | 1 | ) | ( | 1 | − | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | ( | 1 | + | 1 | ) | = | 2 | X | + | 10 | + | 10 |
| 3 | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | + | 5 | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | + | ( | 4 | − | 1 | ) | ( | 1 | − | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | ( | 1 | + | 1 | ) | = | 2 | X | + | 20 |
| Multiply both sides of the equation by: | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) |
| 3 | X | + | 5 | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | + | ( | 4 | − | 1 | ) | ( | 1 | − | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | ( | 1 | + | 1 | ) | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | = | 2 | X | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | + | 20 | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) |
| 3 | X | + | 5 | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | × | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | + | ( | 4 | − | 1 | ) | ( | 1 | − | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | ( | 1 | + | 1 | ) | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | = | 2 | X | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | + | 20 | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) |
| 3 | X | + | 5 | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | × | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | + | ( | 4 | − | 1 | ) | ( | 1 | − | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | ( | 1 | + | 1 | ) | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | = | 2 | X | × | 5 | − | 2 | X | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | + | 20 | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) |
| 3 | X | + | 5 | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | × | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | + | ( | 4 | − | 1 | ) | ( | 1 | − | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | ( | 1 | + | 1 | ) | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | = | 10 | X | − | 2 | X | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | + | 20 | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) |
| Multiply both sides of the equation by: | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) |
| 3 | X | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | + | 5 | X | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | + | ( | 4 | − | 1 | ) | ( | 1 | − | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | ( | 1 | + | 1 | ) | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | = | 10 | X | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | − | 2 | X | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | + | 20 | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) |
| 3 | X | × | 5 | − | 3 | X | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | + | 5 | X | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | + | ( | 4 | − | 1 | ) | ( | 1 | − | 1 | ÷ | ( | 1 | + | 2 | ) | ) | = | 10 | X | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | − | 2 | X | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | + | 20 | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) |
| 3 | X | × | 5 | − | 3 | X | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | + | 5 | X | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | + | ( | 4 | − | 1 | ) | ( | 1 | − | 1 | ÷ | ( | 1 | + | 2 | ) | ) | = | 10 | X | × | 5 | − | 10 | X | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | − | 2 | X | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) |
| 15 | X | − | 3 | X | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | + | 5 | X | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | + | ( | 4 | − | 1 | ) | ( | 1 | − | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | X | ÷ | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | ) | = | 50 | X | − | 10 | X | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | − | 2 | X | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | + | 20 |
| 15 | X | − | 3 | X | × | 1 | ( | 2 | − | 1 | ) | − | 3 | X | × | 2 | ( | 2 | − | 1 | ) | + | 5 | X | = | 50 | X | − | 10 | X | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | − | 2 | X | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | + | 20 |
| 15 | X | − | 3 | X | × | 1 | ( | 2 | − | 1 | ) | − | 3 | X | × | 2 | ( | 2 | − | 1 | ) | + | 5 | X | = | 50 | X | − | 10 | X | × | 1 | ( | 2 | − | 1 | ) | − | 10 | X | × | 2 | ( | 2 | − | 1 | ) | − | 2 | X |
| 15 | X | − | 3 | X | ( | 2 | − | 1 | ) | − | 6 | X | ( | 2 | − | 1 | ) | + | 5 | X | ( | 5 | − | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) | ) | + | ( | 4 | − | 1 | ) | = | 50 | X | − | 10 | X | ( | 2 | − | 1 | ) | − | 20 | X | ( | 2 | − | 1 | ) | − | 2 | X | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) |
| 15 | X | − | 3 | X | × | 2 | + | 3 | X | × | 1 | − | 6 | X | ( | 2 | − | 1 | ) | + | 5 | = | 50 | X | − | 10 | X | ( | 2 | − | 1 | ) | − | 20 | X | ( | 2 | − | 1 | ) | − | 2 | X | ( | 1 | + | 2 | ) | ( | 2 | − | 1 | ) |
| 15 | X | − | 3 | X | × | 2 | + | 3 | X | × | 1 | − | 6 | X | ( | 2 | − | 1 | ) | + | 5 | = | 50 | X | − | 10 | X | × | 2 | + | 10 | X | × | 1 | − | 20 | X | ( | 2 | − | 1 | ) | − | 2 |
X=5
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》