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7+3(2x-2)=5x+8
We move all terms to the left:
7+3(2x-2)-(5x+8)=0
We multiply parentheses
6x-(5x+8)-6+7=0
We get rid of parentheses
6x-5x-8-6+7=0
We add all the numbers together, and all the variables
x-7=0
We move all terms containing x to the left, all other terms to the right
x=7
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