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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+73.703-x .
Question type: Equation
Solution:Original question:
| ( | 13567 500 | + | x | ) | × | 59 20 | = | 54269 1000 | + | 73703 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 | + | 73703 1000 | − | x |
| Right side of the equation = | 31993 250 | − | x |
800453 10000 | + | 59 20 | x | = | 31993 250 | − | x |
Transposition :
59 20 | x | + | x | = | 31993 250 | − | 800453 10000 |
Combine the items on the left of the equation:
79 20 | x | = | 31993 250 | − | 800453 10000 |
Combine the items on the right of the equation:
79 20 | x | = | 479267 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 479267 10000 | ÷ | 79 20 |
| = | 479267 10000 | × | 20 79 |
| = | 479267 500 | × | 1 79 |
We obtained :
| x | = | 479267 39500 |
Convert the result to decimal form :
| x | = | 12.133342 |