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3(4x+2)=6(x-2)
We move all terms to the left:
3(4x+2)-(6(x-2))=0
We multiply parentheses
12x-(6(x-2))+6=0
We calculate terms in parentheses: -(6(x-2)), so:We get rid of parentheses
6(x-2)
We multiply parentheses
6x-12
Back to the equation:
-(6x-12)
12x-6x+12+6=0
We add all the numbers together, and all the variables
6x+18=0
We move all terms containing x to the left, all other terms to the right
6x=-18
x=-18/6
x=-3
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