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[ 1/1 Equation]
Work: Find the solution of equation 2(9-2X1) = 3(11-2X2) .
Question type: Equation
Solution:Original question:| | 2 | ( | 9 | − | 2 | X | × | 1 | ) | = | 3 | ( | 11 | − | 2 | X | × | 2 | ) |
Remove the bracket on the left of the equation:
| Left side of the equation = | 2 | × | 9 | − | 2 | × | 2 | X | × | 1 |
The equation is transformed into :
| | 18 | − | 4 | X | = | 3 | ( | 11 | − | 2 | X | × | 2 | ) |
Remove the bracket on the right of the equation:
| Right side of the equation = | 3 | × | 11 | − | 3 | × | 2 | X | × | 2 |
The equation is transformed into :
Transposition :
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.
Convert the result to decimal form :
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