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Work: Find the solution of equation x = -100+0.2(x-250+62.5)+250 .
Question type: Equation
Solution:Original question:| | x | = | - | 100 | + | 1 5 | ( | x | − | 250 | + | 125 2 | ) | + | 250 |
| Right side of the equation = | 150 | + | 1 5 | ( | x | − | 250 | + | 125 2 | ) |
The equation is transformed into :
| | x | = | 150 | + | 1 5 | ( | x | − | 250 | + | 125 2 | ) |
Remove the bracket on the right of the equation:
| Right side of the equation = | 150 | + | 1 5 | x | − | 1 5 | × | 250 | + | 1 5 | × | 125 2 |
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
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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