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8x+12=10x-15
We move all terms to the left:
8x+12-(10x-15)=0
We get rid of parentheses
8x-10x+15+12=0
We add all the numbers together, and all the variables
-2x+27=0
We move all terms containing x to the left, all other terms to the right
-2x=-27
x=-27/-2
x=13+1/2
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