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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）×2.95 = 54.269+73.203-x .
Question type: Equation
Solution:Original question:
| ( | 13567 500 | + | x | ) | × | 59 20 | = | 54269 1000 | + | 73203 1000 | − | x |
| Left side of the equation = | 13567 500 | × | 59 20 | + | x | × | 59 20 |
| = | 800453 10000 | + | x | × | 59 20 |
800453 10000 | + | 59 20 | x | = | 54269 1000 | + | 73203 1000 | − | x |
| Right side of the equation = | 15934 125 | − | x |
800453 10000 | + | 59 20 | x | = | 15934 125 | − | x |
Transposition :
59 20 | x | + | x | = | 15934 125 | − | 800453 10000 |
Combine the items on the left of the equation:
79 20 | x | = | 15934 125 | − | 800453 10000 |
Combine the items on the right of the equation:
79 20 | x | = | 474267 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 474267 10000 | ÷ | 79 20 |
| = | 474267 10000 | × | 20 79 |
| = | 474267 500 | × | 1 79 |
We obtained :
| x | = | 474267 39500 |
Convert the result to decimal form :
| x | = | 12.006759 |