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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 （26.274+x）×2.95 = 52.549+71.623-x .
Question type: Equation
Solution:Original question:
| ( | 13137 500 | + | x | ) | × | 59 20 | = | 52549 1000 | + | 71623 1000 | − | x |
| Left side of the equation = | 13137 500 | × | 59 20 | + | x | × | 59 20 |
| = | 775083 10000 | + | x | × | 59 20 |
775083 10000 | + | 59 20 | x | = | 52549 1000 | + | 71623 1000 | − | x |
| Right side of the equation = | 31043 250 | − | x |
775083 10000 | + | 59 20 | x | = | 31043 250 | − | x |
Transposition :
59 20 | x | + | x | = | 31043 250 | − | 775083 10000 |
Combine the items on the left of the equation:
79 20 | x | = | 31043 250 | − | 775083 10000 |
Combine the items on the right of the equation:
79 20 | x | = | 466637 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 466637 10000 | ÷ | 79 20 |
| = | 466637 10000 | × | 20 79 |
| = | 466637 500 | × | 1 79 |
We obtained :
| x | = | 466637 39500 |
Convert the result to decimal form :
| x | = | 11.813595 |