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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 （26.813+x）×0.85 = 53.627+73.24-x .
Question type: Equation
Solution:Original question:
| ( | 26813 1000 | + | x | ) | × | 17 20 | = | 53627 1000 | + | 1831 25 | − | x |
| Left side of the equation = | 26813 1000 | × | 17 20 | + | x | × | 17 20 |
| = | 455821 20000 | + | x | × | 17 20 |
455821 20000 | + | 17 20 | x | = | 53627 1000 | + | 1831 25 | − | x |
| Right side of the equation = | 126867 1000 | − | x |
455821 20000 | + | 17 20 | x | = | 126867 1000 | − | x |
Transposition :
17 20 | x | + | x | = | 126867 1000 | − | 455821 20000 |
Combine the items on the left of the equation:
37 20 | x | = | 126867 1000 | − | 455821 20000 |
Combine the items on the right of the equation:
37 20 | x | = | 2081519 20000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2081519 20000 | ÷ | 37 20 |
| = | 2081519 20000 | × | 20 37 |
| = | 2081519 1000 | × | 1 37 |
We obtained :
| x | = | 2081519 37000 |
Convert the result to decimal form :
| x | = | 56.25727 |