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3x+1=8x-12
We move all terms to the left:
3x+1-(8x-12)=0
We get rid of parentheses
3x-8x+12+1=0
We add all the numbers together, and all the variables
-5x+13=0
We move all terms containing x to the left, all other terms to the right
-5x=-13
x=-13/-5
x=2+3/5
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