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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 （25.343+x）×2.55 = 50.687+68.83-x .
Question type: Equation
Solution:Original question:
| ( | 25343 1000 | + | x | ) | × | 51 20 | = | 50687 1000 | + | 6883 100 | − | x |
| Left side of the equation = | 25343 1000 | × | 51 20 | + | x | × | 51 20 |
| = | 1292493 20000 | + | x | × | 51 20 |
1292493 20000 | + | 51 20 | x | = | 50687 1000 | + | 6883 100 | − | x |
| Right side of the equation = | 119517 1000 | − | x |
1292493 20000 | + | 51 20 | x | = | 119517 1000 | − | x |
Transposition :
51 20 | x | + | x | = | 119517 1000 | − | 1292493 20000 |
Combine the items on the left of the equation:
71 20 | x | = | 119517 1000 | − | 1292493 20000 |
Combine the items on the right of the equation:
71 20 | x | = | 1097847 20000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1097847 20000 | ÷ | 71 20 |
| = | 1097847 20000 | × | 20 71 |
| = | 1097847 1000 | × | 1 71 |
We obtained :
| x | = | 1097847 71000 |
Convert the result to decimal form :
| x | = | 15.462634 |