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4(2x-3)+2=-3x+12
We move all terms to the left:
4(2x-3)+2-(-3x+12)=0
We multiply parentheses
8x-(-3x+12)-12+2=0
We get rid of parentheses
8x+3x-12-12+2=0
We add all the numbers together, and all the variables
11x-22=0
We move all terms containing x to the left, all other terms to the right
11x=22
x=22/11
x=2
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