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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
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 1035.0867-18.67*x = 1020.7682+18.67*2*x .
Question type: Equation
Solution:Original question:
10350867 10000 | − | 1867 100 | x | = | 5103841 5000 | + | 1867 100 | × | 2 | x |
| Right side of the equation = | 5103841 5000 | + | 1867 50 | x |
10350867 10000 | − | 1867 100 | x | = | 5103841 5000 | + | 1867 50 | x |
Transposition :
| - | 1867 100 | x | − | 1867 50 | x | = | 5103841 5000 | − | 10350867 10000 |
Combine the items on the left of the equation:
| - | 5601 100 | x | = | 5103841 5000 | − | 10350867 10000 |
Combine the items on the right of the equation:
| - | 5601 100 | x | = | - | 28637 2000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
28637 2000 | = | 5601 100 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
5601 100 | x | = | 28637 2000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 28637 2000 | ÷ | 5601 100 |
| = | 28637 2000 | × | 100 5601 |
| = | 28637 20 | × | 1 5601 |
We obtained :
| x | = | 28637 112020 |
Convert the result to decimal form :
| x | = | 0.255642 |