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10x-12=6x-6
We move all terms to the left:
10x-12-(6x-6)=0
We get rid of parentheses
10x-6x+6-12=0
We add all the numbers together, and all the variables
4x-6=0
We move all terms containing x to the left, all other terms to the right
4x=6
x=6/4
x=1+1/2
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