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2(4x-8)=3x+12
We move all terms to the left:
2(4x-8)-(3x+12)=0
We multiply parentheses
8x-(3x+12)-16=0
We get rid of parentheses
8x-3x-12-16=0
We add all the numbers together, and all the variables
5x-28=0
We move all terms containing x to the left, all other terms to the right
5x=28
x=28/5
x=5+3/5
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