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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 （26.326+x）×0.85 = 52.652+69.778-x .
Question type: Equation
Solution:Original question:
| ( | 13163 500 | + | x | ) | × | 17 20 | = | 13163 250 | + | 34889 500 | − | x |
| Left side of the equation = | 13163 500 | × | 17 20 | + | x | × | 17 20 |
| = | 223771 10000 | + | x | × | 17 20 |
223771 10000 | + | 17 20 | x | = | 13163 250 | + | 34889 500 | − | x |
| Right side of the equation = | 12243 100 | − | x |
223771 10000 | + | 17 20 | x | = | 12243 100 | − | x |
Transposition :
17 20 | x | + | x | = | 12243 100 | − | 223771 10000 |
Combine the items on the left of the equation:
37 20 | x | = | 12243 100 | − | 223771 10000 |
Combine the items on the right of the equation:
37 20 | x | = | 1000529 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1000529 10000 | ÷ | 37 20 |
| = | 1000529 10000 | × | 20 37 |
| = | 1000529 500 | × | 1 37 |
We obtained :
| x | = | 1000529 18500 |
Convert the result to decimal form :
| x | = | 54.082649 |