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Work: Find the solution of equation （22806.83-X/1.01*0.01)*1.12 = 273525.58-X .
Question type: Equation
Solution:Original question:| | ( | 2280683 100 | − | X | ÷ | 101 100 | × | 1 100 | ) | × | 28 25 | = | 13676279 50 | − | X |
Remove the bracket on the left of the equation:
| Left side of the equation = | 2280683 100 | × | 28 25 | − | X | ÷ | 101 100 | × | 1 100 | × | 28 25 |
| = | 15964781 625 | − | X | × | 28 2525 |
The equation is transformed into :
| | 15964781 625 | − | 28 2525 | X | = | 13676279 50 | − | X |
Transposition :
| | - | 28 2525 | X | + | X | = | 13676279 50 | − | 15964781 625 |
Combine the items on the left of the equation:
| | - | - | 2497 2525 | X | = | 13676279 50 | − | 15964781 625 |
Combine the items on the right of the equation:
| | - | - | 2497 2525 | X | = | 309977413 1250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| | - | 309977413 1250 | = | - | 2497 2525 | X |
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 :
| | - | 2497 2525 | X | = | - | 309977413 1250 |
The coefficient of the unknown number is reduced to 1 :
| | X | = | 309977413 1250 | ÷ | 2497 2525 |
| | = | 309977413 1250 | × | 2525 2497 |
We obtained :
This is the solution of the equation.
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