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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 （41.183+x）×1.95 = 41.783+73.666-x .
Question type: Equation
Solution:Original question:
| ( | 41183 1000 | + | x | ) | × | 39 20 | = | 41783 1000 | + | 36833 500 | − | x |
| Left side of the equation = | 41183 1000 | × | 39 20 | + | x | × | 39 20 |
| = | 1606137 20000 | + | x | × | 39 20 |
1606137 20000 | + | 39 20 | x | = | 41783 1000 | + | 36833 500 | − | x |
| Right side of the equation = | 115449 1000 | − | x |
1606137 20000 | + | 39 20 | x | = | 115449 1000 | − | x |
Transposition :
39 20 | x | + | x | = | 115449 1000 | − | 1606137 20000 |
Combine the items on the left of the equation:
59 20 | x | = | 115449 1000 | − | 1606137 20000 |
Combine the items on the right of the equation:
59 20 | x | = | 702843 20000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 702843 20000 | ÷ | 59 20 |
| = | 702843 20000 | × | 20 59 |
| = | 702843 1000 | × | 1 59 |
We obtained :
| x | = | 702843 59000 |
Convert the result to decimal form :
| x | = | 11.912593 |