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3x-8=12-1x
We move all terms to the left:
3x-8-(12-1x)=0
We add all the numbers together, and all the variables
3x-(-1x+12)-8=0
We get rid of parentheses
3x+1x-12-8=0
We add all the numbers together, and all the variables
4x-20=0
We move all terms containing x to the left, all other terms to the right
4x=20
x=20/4
x=5
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