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Work: Find the solution of equation 2{3[4(5x-1)-8]-20}-7 = 1 .
Question type: Equation
Solution:Original question:| | 2 | ( | 3 | ( | 4 | ( | 5 | x | − | 1 | ) | − | 8 | ) | − | 20 | ) | − | 7 | = | 1 |
Remove the bracket on the left of the equation:
| Left side of the equation = | 2 | × | 3 | ( | 4 | ( | 5 | x | − | 1 | ) | − | 8 | ) | − | 2 | × | 20 | − | 7 |
| = | 6 | ( | 4 | ( | 5 | x | − | 1 | ) | − | 8 | ) | − | 40 | − | 7 |
| = | 6 | × | 4 | ( | 5 | x | − | 1 | ) | − | 6 | × | 8 | − | 47 |
The equation is transformed into :
Transposition :
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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