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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 108.6*7.69+12x = (108.6+x)*8 .
Question type: Equation
Solution:Original question:
543 5 | × | 769 100 | + | 12 | x | = | ( | 543 5 | + | x | ) | × | 8 |
| Left side of the equation = | 417567 500 | + | 12 | x |
417567 500 | + | 12 | x | = | ( | 543 5 | + | x | ) | × | 8 |
| Right side of the equation = | 543 5 | × | 8 | + | x | × | 8 |
| = | 4344 5 | + | x | × | 8 |
417567 500 | + | 12 | x | = | 4344 5 | + | 8 | x |
Transposition :
| 12 | x | − | 8 | x | = | 4344 5 | − | 417567 500 |
Combine the items on the left of the equation:
| 4 | x | = | 4344 5 | − | 417567 500 |
Combine the items on the right of the equation:
| 4 | x | = | 16833 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 16833 500 | ÷ | 4 |
| = | 16833 500 | × | 1 4 |
We obtained :
| x | = | 16833 2000 |
Convert the result to decimal form :
| x | = | 8.4165 |