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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）×2.75 = 52.985+71.278-x .
Question type: Equation
Solution:Original question:
| ( | 26493 1000 | + | x | ) | × | 11 4 | = | 10597 200 | + | 35639 500 | − | x |
| Left side of the equation = | 26493 1000 | × | 11 4 | + | x | × | 11 4 |
| = | 291423 4000 | + | x | × | 11 4 |
291423 4000 | + | 11 4 | x | = | 10597 200 | + | 35639 500 | − | x |
| Right side of the equation = | 124263 1000 | − | x |
291423 4000 | + | 11 4 | x | = | 124263 1000 | − | x |
Transposition :
11 4 | x | + | x | = | 124263 1000 | − | 291423 4000 |
Combine the items on the left of the equation:
15 4 | x | = | 124263 1000 | − | 291423 4000 |
Combine the items on the right of the equation:
15 4 | x | = | 205629 4000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 205629 4000 | ÷ | 15 4 |
| = | 205629 4000 | × | 4 15 |
| = | 68543 1000 | × | 1 5 |
We obtained :
| x | = | 68543 5000 |
Convert the result to decimal form :
| x | = | 13.7086 |