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-5(x+2)=x-2
We move all terms to the left:
-5(x+2)-(x-2)=0
We multiply parentheses
-5x-(x-2)-10=0
We get rid of parentheses
-5x-x+2-10=0
We add all the numbers together, and all the variables
-6x-8=0
We move all terms containing x to the left, all other terms to the right
-6x=8
x=8/-6
x=-1+1/3
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