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Work: Find the solution of equation （490.73-X）÷（3907.12-X） = 0.14 .
Question type: Equation
Solution:Original question:| | ( | 49073 100 | − | X | ) | ÷ | ( | 97678 25 | − | X | ) | = | 7 50 |
| Multiply both sides of the equation by: | ( | 97678 25 | − | X | ) |
| | ( | 49073 100 | − | X | ) | = | 7 50 | ( | 97678 25 | − | X | ) |
Remove a bracket on the left of the equation:：
| | 49073 100 | − | X | = | 7 50 | ( | 97678 25 | − | X | ) |
Remove a bracket on the right of the equation:：
| | 49073 100 | − | X | = | 7 50 | × | 97678 25 | − | 7 50 | X |
The equation is reduced to :
| | 49073 100 | − | X | = | 341873 625 | − | 7 50 | X |
Transposition :
| | - | X | + | 7 50 | X | = | 341873 625 | − | 49073 100 |
Combine the items on the left of the equation:
| | - | 43 50 | X | = | 341873 625 | − | 49073 100 |
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
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