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5x-12=6x-6
We move all terms to the left:
5x-12-(6x-6)=0
We get rid of parentheses
5x-6x+6-12=0
We add all the numbers together, and all the variables
-1x-6=0
We move all terms containing x to the left, all other terms to the right
-x=6
x=6/-1
x=-6
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