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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）×0.85 = 52.549+70.623-x .
Question type: Equation
Solution:Original question:
| ( | 13137 500 | + | x | ) | × | 17 20 | = | 52549 1000 | + | 70623 1000 | − | x |
| Left side of the equation = | 13137 500 | × | 17 20 | + | x | × | 17 20 |
| = | 223329 10000 | + | x | × | 17 20 |
223329 10000 | + | 17 20 | x | = | 52549 1000 | + | 70623 1000 | − | x |
| Right side of the equation = | 30793 250 | − | x |
223329 10000 | + | 17 20 | x | = | 30793 250 | − | x |
Transposition :
17 20 | x | + | x | = | 30793 250 | − | 223329 10000 |
Combine the items on the left of the equation:
37 20 | x | = | 30793 250 | − | 223329 10000 |
Combine the items on the right of the equation:
37 20 | x | = | 1008391 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1008391 10000 | ÷ | 37 20 |
| = | 1008391 10000 | × | 20 37 |
| = | 1008391 500 | × | 1 37 |
We obtained :
| x | = | 1008391 18500 |
Convert the result to decimal form :
| x | = | 54.507622 |