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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）×3.15 = 51.253+71.679-x .
Question type: Equation
Solution:Original question:
| ( | 12813 500 | + | x | ) | × | 63 20 | = | 51253 1000 | + | 71679 1000 | − | x |
| Left side of the equation = | 12813 500 | × | 63 20 | + | x | × | 63 20 |
| = | 807219 10000 | + | x | × | 63 20 |
807219 10000 | + | 63 20 | x | = | 51253 1000 | + | 71679 1000 | − | x |
| Right side of the equation = | 30733 250 | − | x |
807219 10000 | + | 63 20 | x | = | 30733 250 | − | x |
Transposition :
63 20 | x | + | x | = | 30733 250 | − | 807219 10000 |
Combine the items on the left of the equation:
83 20 | x | = | 30733 250 | − | 807219 10000 |
Combine the items on the right of the equation:
83 20 | x | = | 422101 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 422101 10000 | ÷ | 83 20 |
| = | 422101 10000 | × | 20 83 |
| = | 422101 500 | × | 1 83 |
We obtained :
| x | = | 422101 41500 |
Convert the result to decimal form :
| x | = | 10.171108 |