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2(4x-1)=3x+38
We move all terms to the left:
2(4x-1)-(3x+38)=0
We multiply parentheses
8x-(3x+38)-2=0
We get rid of parentheses
8x-3x-38-2=0
We add all the numbers together, and all the variables
5x-40=0
We move all terms containing x to the left, all other terms to the right
5x=40
x=40/5
x=8
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