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8x+7=12x-13
We move all terms to the left:
8x+7-(12x-13)=0
We get rid of parentheses
8x-12x+13+7=0
We add all the numbers together, and all the variables
-4x+20=0
We move all terms containing x to the left, all other terms to the right
-4x=-20
x=-20/-4
x=+5
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