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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 （27.134+x）×0.85 = 54.268+72.203-x .
Question type: Equation
Solution:Original question:
| ( | 13567 500 | + | x | ) | × | 17 20 | = | 13567 250 | + | 72203 1000 | − | x |
| Left side of the equation = | 13567 500 | × | 17 20 | + | x | × | 17 20 |
| = | 230639 10000 | + | x | × | 17 20 |
230639 10000 | + | 17 20 | x | = | 13567 250 | + | 72203 1000 | − | x |
| Right side of the equation = | 126471 1000 | − | x |
230639 10000 | + | 17 20 | x | = | 126471 1000 | − | x |
Transposition :
17 20 | x | + | x | = | 126471 1000 | − | 230639 10000 |
Combine the items on the left of the equation:
37 20 | x | = | 126471 1000 | − | 230639 10000 |
Combine the items on the right of the equation:
37 20 | x | = | 1034071 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1034071 10000 | ÷ | 37 20 |
| = | 1034071 10000 | × | 20 37 |
| = | 1034071 500 | × | 1 37 |
We obtained :
| x | = | 1034071 18500 |
Convert the result to decimal form :
| x | = | 55.89573 |