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3x-5+2x=7x-12
We move all terms to the left:
3x-5+2x-(7x-12)=0
We add all the numbers together, and all the variables
5x-(7x-12)-5=0
We get rid of parentheses
5x-7x+12-5=0
We add all the numbers together, and all the variables
-2x+7=0
We move all terms containing x to the left, all other terms to the right
-2x=-7
x=-7/-2
x=3+1/2
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