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X-5=-12+8X
We move all terms to the left:
X-5-(-12+8X)=0
We add all the numbers together, and all the variables
X-(8X-12)-5=0
We get rid of parentheses
X-8X+12-5=0
We add all the numbers together, and all the variables
-7X+7=0
We move all terms containing X to the left, all other terms to the right
-7X=-7
X=-7/-7
X=1
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