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4(2x-3)=3x+3
We move all terms to the left:
4(2x-3)-(3x+3)=0
We multiply parentheses
8x-(3x+3)-12=0
We get rid of parentheses
8x-3x-3-12=0
We add all the numbers together, and all the variables
5x-15=0
We move all terms containing x to the left, all other terms to the right
5x=15
x=15/5
x=3
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