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8=3(x-3)-(x-7)
We move all terms to the left:
8-(3(x-3)-(x-7))=0
We calculate terms in parentheses: -(3(x-3)-(x-7)), so:We get rid of parentheses
3(x-3)-(x-7)
We multiply parentheses
3x-(x-7)-9
We get rid of parentheses
3x-x+7-9
We add all the numbers together, and all the variables
2x-2
Back to the equation:
-(2x-2)
-2x+2+8=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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