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5x-12=3x-15
We move all terms to the left:
5x-12-(3x-15)=0
We get rid of parentheses
5x-3x+15-12=0
We add all the numbers together, and all the variables
2x+3=0
We move all terms containing x to the left, all other terms to the right
2x=-3
x=-3/2
x=-1+1/2
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