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4(2x-3)=2(3x+6)
We move all terms to the left:
4(2x-3)-(2(3x+6))=0
We multiply parentheses
8x-(2(3x+6))-12=0
We calculate terms in parentheses: -(2(3x+6)), so:We get rid of parentheses
2(3x+6)
We multiply parentheses
6x+12
Back to the equation:
-(6x+12)
8x-6x-12-12=0
We add all the numbers together, and all the variables
2x-24=0
We move all terms containing x to the left, all other terms to the right
2x=24
x=24/2
x=12
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