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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 （26.493+x）×0.85 = 26.493+71.278-x .
Question type: Equation
Solution:Original question:
| ( | 26493 1000 | + | x | ) | × | 17 20 | = | 26493 1000 | + | 35639 500 | − | x |
| Left side of the equation = | 26493 1000 | × | 17 20 | + | x | × | 17 20 |
| = | 450381 20000 | + | x | × | 17 20 |
450381 20000 | + | 17 20 | x | = | 26493 1000 | + | 35639 500 | − | x |
| Right side of the equation = | 97771 1000 | − | x |
450381 20000 | + | 17 20 | x | = | 97771 1000 | − | x |
Transposition :
17 20 | x | + | x | = | 97771 1000 | − | 450381 20000 |
Combine the items on the left of the equation:
37 20 | x | = | 97771 1000 | − | 450381 20000 |
Combine the items on the right of the equation:
37 20 | x | = | 1505039 20000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1505039 20000 | ÷ | 37 20 |
| = | 1505039 20000 | × | 20 37 |
| = | 1505039 1000 | × | 1 37 |
We obtained :
| x | = | 1505039 37000 |
Convert the result to decimal form :
| x | = | 40.67673 |