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15x-2=10x-7
We move all terms to the left:
15x-2-(10x-7)=0
We get rid of parentheses
15x-10x+7-2=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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