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12x-17=8x+15
We move all terms to the left:
12x-17-(8x+15)=0
We get rid of parentheses
12x-8x-15-17=0
We add all the numbers together, and all the variables
4x-32=0
We move all terms containing x to the left, all other terms to the right
4x=32
x=32/4
x=8
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