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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 （26.307+x）×1.75 = 52.613+70.22-x .
Question type: Equation
Solution:Original question:
| ( | 26307 1000 | + | x | ) | × | 7 4 | = | 52613 1000 | + | 3511 50 | − | x |
| Left side of the equation = | 26307 1000 | × | 7 4 | + | x | × | 7 4 |
| = | 184149 4000 | + | x | × | 7 4 |
184149 4000 | + | 7 4 | x | = | 52613 1000 | + | 3511 50 | − | x |
| Right side of the equation = | 122833 1000 | − | x |
184149 4000 | + | 7 4 | x | = | 122833 1000 | − | x |
Transposition :
7 4 | x | + | x | = | 122833 1000 | − | 184149 4000 |
Combine the items on the left of the equation:
11 4 | x | = | 122833 1000 | − | 184149 4000 |
Combine the items on the right of the equation:
11 4 | x | = | 307183 4000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 307183 4000 | ÷ | 11 4 |
| = | 307183 4000 | × | 4 11 |
| = | 307183 1000 | × | 1 11 |
We obtained :
| x | = | 307183 11000 |
Convert the result to decimal form :
| x | = | 27.925727 |