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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）×2.85 = 26.493+70.278-x .
Question type: Equation
Solution:Original question:
| ( | 26493 1000 | + | x | ) | × | 57 20 | = | 26493 1000 | + | 35139 500 | − | x |
| Left side of the equation = | 26493 1000 | × | 57 20 | + | x | × | 57 20 |
| = | 1510101 20000 | + | x | × | 57 20 |
1510101 20000 | + | 57 20 | x | = | 26493 1000 | + | 35139 500 | − | x |
| Right side of the equation = | 96771 1000 | − | x |
1510101 20000 | + | 57 20 | x | = | 96771 1000 | − | x |
Transposition :
57 20 | x | + | x | = | 96771 1000 | − | 1510101 20000 |
Combine the items on the left of the equation:
77 20 | x | = | 96771 1000 | − | 1510101 20000 |
Combine the items on the right of the equation:
77 20 | x | = | 425319 20000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 425319 20000 | ÷ | 77 20 |
| = | 425319 20000 | × | 20 77 |
| = | 425319 1000 | × | 1 77 |
We obtained :
| x | = | 425319 77000 |
Convert the result to decimal form :
| x | = | 5.523623 |