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6x-1=12x-3
We move all terms to the left:
6x-1-(12x-3)=0
We get rid of parentheses
6x-12x+3-1=0
We add all the numbers together, and all the variables
-6x+2=0
We move all terms containing x to the left, all other terms to the right
-6x=-2
x=-2/-6
x=1/3
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