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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 （54-2x）/1.57+x+40 = 50+x .
Question type: Equation
Solution:Original question:
| ( | 54 | − | 2 | x | ) | ÷ | 157 100 | + | x | + | 40 | = | 50 | + | x |
| Left side of the equation = | 54 | × | 100 157 | − | 2 | x | × | 100 157 | + | x | + | 40 |
| = | 5400 157 | − | 200 157 | x | + | x | + | 40 |
| = | 11680 157 | − | 43 157 | x |
11680 157 | − | 43 157 | x | = | 50 | + | x |
Transposition :
| - | 43 157 | x | − | x | = | 50 | − | 11680 157 |
Combine the items on the left of the equation:
| - | 200 157 | x | = | 50 | − | 11680 157 |
Combine the items on the right of the equation:
| - | 200 157 | x | = | - | 3830 157 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
3830 157 | = | 200 157 | 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 :
200 157 | x | = | 3830 157 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3830 157 | ÷ | 200 157 |
| = | 3830 157 | × | 157 200 |
| = | 383 157 | × | 157 20 |
We obtained :
| x | = | 60131 3140 |
Convert the result to decimal form :
| x | = | 19.15 |