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4x-3=8x+3
We move all terms to the left:
4x-3-(8x+3)=0
We get rid of parentheses
4x-8x-3-3=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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