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4(x-8)=x+10
We move all terms to the left:
4(x-8)-(x+10)=0
We multiply parentheses
4x-(x+10)-32=0
We get rid of parentheses
4x-x-10-32=0
We add all the numbers together, and all the variables
3x-42=0
We move all terms containing x to the left, all other terms to the right
3x=42
x=42/3
x=14
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