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3(2x+2)=4(3x+2)-4(x+3)
We move all terms to the left:
3(2x+2)-(4(3x+2)-4(x+3))=0
We multiply parentheses
6x-(4(3x+2)-4(x+3))+6=0
We calculate terms in parentheses: -(4(3x+2)-4(x+3)), so:We get rid of parentheses
4(3x+2)-4(x+3)
We multiply parentheses
12x-4x+8-12
We add all the numbers together, and all the variables
8x-4
Back to the equation:
-(8x-4)
6x-8x+4+6=0
We add all the numbers together, and all the variables
-2x+10=0
We move all terms containing x to the left, all other terms to the right
-2x=-10
x=-10/-2
x=+5
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