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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+71.778-x .
Question type: Equation
Solution:Original question:
| ( | 26493 1000 | + | x | ) | × | 11 4 | = | 10597 200 | + | 35889 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 | + | 35889 500 | − | x |
| Right side of the equation = | 124763 1000 | − | x |
291423 4000 | + | 11 4 | x | = | 124763 1000 | − | x |
Transposition :
11 4 | x | + | x | = | 124763 1000 | − | 291423 4000 |
Combine the items on the left of the equation:
15 4 | x | = | 124763 1000 | − | 291423 4000 |
Combine the items on the right of the equation:
15 4 | x | = | 207629 4000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 207629 4000 | ÷ | 15 4 |
| = | 207629 4000 | × | 4 15 |
| = | 207629 1000 | × | 1 15 |
We obtained :
| x | = | 207629 15000 |
Convert the result to decimal form :
| x | = | 13.841933 |