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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）×2.25 = 52.613+71.22-x .
Question type: Equation
Solution:Original question:
| ( | 26307 1000 | + | x | ) | × | 9 4 | = | 52613 1000 | + | 3561 50 | − | x |
| Left side of the equation = | 26307 1000 | × | 9 4 | + | x | × | 9 4 |
| = | 236763 4000 | + | x | × | 9 4 |
236763 4000 | + | 9 4 | x | = | 52613 1000 | + | 3561 50 | − | x |
| Right side of the equation = | 123833 1000 | − | x |
236763 4000 | + | 9 4 | x | = | 123833 1000 | − | x |
Transposition :
9 4 | x | + | x | = | 123833 1000 | − | 236763 4000 |
Combine the items on the left of the equation:
13 4 | x | = | 123833 1000 | − | 236763 4000 |
Combine the items on the right of the equation:
13 4 | x | = | 258569 4000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 258569 4000 | ÷ | 13 4 |
| = | 258569 4000 | × | 4 13 |
| = | 258569 1000 | × | 1 13 |
We obtained :
| x | = | 258569 13000 |
Convert the result to decimal form :
| x | = | 19.889923 |