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5x-12=7x+3
We move all terms to the left:
5x-12-(7x+3)=0
We get rid of parentheses
5x-7x-3-12=0
We add all the numbers together, and all the variables
-2x-15=0
We move all terms containing x to the left, all other terms to the right
-2x=15
x=15/-2
x=-7+1/2
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