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15x+17=10x+12
We move all terms to the left:
15x+17-(10x+12)=0
We get rid of parentheses
15x-10x-12+17=0
We add all the numbers together, and all the variables
5x+5=0
We move all terms containing x to the left, all other terms to the right
5x=-5
x=-5/5
x=-1
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