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8x-17=12x+10
We move all terms to the left:
8x-17-(12x+10)=0
We get rid of parentheses
8x-12x-10-17=0
We add all the numbers together, and all the variables
-4x-27=0
We move all terms containing x to the left, all other terms to the right
-4x=27
x=27/-4
x=-6+3/4
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