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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 （38.584+x）×2.05 = 38.584+67.968-x .
Question type: Equation
Solution:Original question:
| ( | 4823 125 | + | x | ) | × | 41 20 | = | 4823 125 | + | 8496 125 | − | x |
| Left side of the equation = | 4823 125 | × | 41 20 | + | x | × | 41 20 |
| = | 197743 2500 | + | x | × | 41 20 |
197743 2500 | + | 41 20 | x | = | 4823 125 | + | 8496 125 | − | x |
| Right side of the equation = | 13319 125 | − | x |
197743 2500 | + | 41 20 | x | = | 13319 125 | − | x |
Transposition :
41 20 | x | + | x | = | 13319 125 | − | 197743 2500 |
Combine the items on the left of the equation:
61 20 | x | = | 13319 125 | − | 197743 2500 |
Combine the items on the right of the equation:
61 20 | x | = | 68637 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 68637 2500 | ÷ | 61 20 |
| = | 68637 2500 | × | 20 61 |
| = | 68637 125 | × | 1 61 |
We obtained :
| x | = | 68637 7625 |
Convert the result to decimal form :
| x | = | 9.001574 |