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