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2x-2=3(x-1)-5(6-2x)-2
We move all terms to the left:
2x-2-(3(x-1)-5(6-2x)-2)=0
We add all the numbers together, and all the variables
2x-(3(x-1)-5(-2x+6)-2)-2=0
We calculate terms in parentheses: -(3(x-1)-5(-2x+6)-2), so:We get rid of parentheses
3(x-1)-5(-2x+6)-2
We multiply parentheses
3x+10x-3-30-2
We add all the numbers together, and all the variables
13x-35
Back to the equation:
-(13x-35)
2x-13x+35-2=0
We add all the numbers together, and all the variables
-11x+33=0
We move all terms containing x to the left, all other terms to the right
-11x=-33
x=-33/-11
x=+3
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