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.5(4x-6)=x+8
We move all terms to the left:
.5(4x-6)-(x+8)=0
We multiply parentheses
2x-(x+8)-3=0
We get rid of parentheses
2x-x-8-3=0
We add all the numbers together, and all the variables
x-11=0
We move all terms containing x to the left, all other terms to the right
x=11
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