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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 （25.626+x）×2.95 = 51.253+71.679-x .
Question type: Equation
Solution:Original question:
| ( | 12813 500 | + | x | ) | × | 59 20 | = | 51253 1000 | + | 71679 1000 | − | x |
| Left side of the equation = | 12813 500 | × | 59 20 | + | x | × | 59 20 |
| = | 755967 10000 | + | x | × | 59 20 |
755967 10000 | + | 59 20 | x | = | 51253 1000 | + | 71679 1000 | − | x |
| Right side of the equation = | 30733 250 | − | x |
755967 10000 | + | 59 20 | x | = | 30733 250 | − | x |
Transposition :
59 20 | x | + | x | = | 30733 250 | − | 755967 10000 |
Combine the items on the left of the equation:
79 20 | x | = | 30733 250 | − | 755967 10000 |
Combine the items on the right of the equation:
79 20 | x | = | 473353 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 473353 10000 | ÷ | 79 20 |
| = | 473353 10000 | × | 20 79 |
| = | 473353 500 | × | 1 79 |
We obtained :
| x | = | 473353 39500 |
Convert the result to decimal form :
| x | = | 11.98362 |