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12x+10=15x-17
We move all terms to the left:
12x+10-(15x-17)=0
We get rid of parentheses
12x-15x+17+10=0
We add all the numbers together, and all the variables
-3x+27=0
We move all terms containing x to the left, all other terms to the right
-3x=-27
x=-27/-3
x=+9
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