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10x+5=7x-12
We move all terms to the left:
10x+5-(7x-12)=0
We get rid of parentheses
10x-7x+12+5=0
We add all the numbers together, and all the variables
3x+17=0
We move all terms containing x to the left, all other terms to the right
3x=-17
x=-17/3
x=-5+2/3
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