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Work: Find the solution of equation 3N*129*0.2+50000 = N*129*0.8-50000 .
Question type: Equation
Solution:Original question:| | 3 | N | × | 129 | × | 1 5 | + | 50000 | = | N | × | 129 | × | 4 5 | − | 50000 |
| Left side of the equation = | 387 5 | N | + | 50000 |
The equation is transformed into :
| | 387 5 | N | + | 50000 | = | N | × | 129 | × | 4 5 | − | 50000 |
| Right side of the equation = | N | × | 516 5 | − | 50000 |
The equation is transformed into :
| | 387 5 | N | + | 50000 | = | 516 5 | N | − | 50000 |
Transposition :
| | 387 5 | N | − | 516 5 | N | = | - | 50000 | − | 50000 |
Combine the items on the left of the equation:
| | - | 129 5 | N | = | - | 50000 | − | 50000 |
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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