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Work: Find the solution of equation 0.6x+90+60 = 1.4(0.4x+90+60) .
Question type: Equation
Solution:Original question:| | 3 5 | x | + | 90 | + | 60 | = | 7 5 | ( | 2 5 | x | + | 90 | + | 60 | ) |
| Left side of the equation = | 3 5 | x | + | 150 |
The equation is transformed into :
| | 3 5 | x | + | 150 | = | 7 5 | ( | 2 5 | x | + | 90 | + | 60 | ) |
Remove the bracket on the right of the equation:
| Right side of the equation = | 7 5 | × | 2 5 | x | + | 7 5 | × | 90 | + | 7 5 | × | 60 |
The equation is transformed into :
| | 3 5 | x | + | 150 | = | 14 25 | x | + | 210 |
Transposition :
| | 3 5 | x | − | 14 25 | x | = | 210 | − | 150 |
Combine the items on the left of the equation:
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
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