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2x+10=15x-17
We move all terms to the left:
2x+10-(15x-17)=0
We get rid of parentheses
2x-15x+17+10=0
We add all the numbers together, and all the variables
-13x+27=0
We move all terms containing x to the left, all other terms to the right
-13x=-27
x=-27/-13
x=2+1/13
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