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Work: Find the solution of equation (5000×12×0.9-70%×130X×6.4%)÷(30%×130X+5%×130X) = 3.8% .
Question type: Equation
Solution:Original question:| | ( | 5000 | × | 12 | × | 9 10 | − | 70 100 | × | 130 | X | × | 32 500 | ) | ÷ | ( | 30 100 | × | 130 | X | + | 5 100 | × | 130 | X | ) | = | 19 500 |
| Multiply both sides of the equation by: | ( | 30 100 | × | 130 | X | + | 5 100 | × | 130 | X | ) |
| | ( | 5000 | × | 12 | × | 9 10 | − | 70 100 | × | 130 | X | × | 32 500 | ) | = | 19 500 | ( | 30 100 | × | 130 | X | + | 5 100 | × | 130 | X | ) |
Remove a bracket on the left of the equation::
| | 5000 | × | 12 | × | 9 10 | − | 70 100 | × | 130 | X | × | 32 500 | = | 19 500 | ( | 30 100 | × | 130 | X | + | 5 100 | × | 130 | X | ) |
Remove a bracket on the right of the equation::
| | 5000 | × | 12 | × | 9 10 | − | 70 100 | × | 130 | X | × | 32 500 | = | 19 500 | × | 30 100 | × | 130 | X | + | 19 500 | × | 5 100 | × | 130 | X |
The equation is reduced to :
| | 54000 | − | 728 125 | X | = | 741 500 | X | + | 247 1000 | X |
The equation is reduced to :
| | 54000 | − | 728 125 | X | = | 1729 1000 | X |
Transposition :
| | - | 728 125 | X | − | 1729 1000 | X | = | - | 54000 |
Combine the items on the left 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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