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.5(x+3)=2x-6
We move all terms to the left:
.5(x+3)-(2x-6)=0
We multiply parentheses
0.5x-(2x-6)+1.5=0
We get rid of parentheses
0.5x-2x+6+1.5=0
We add all the numbers together, and all the variables
-1.5x+7.5=0
We move all terms containing x to the left, all other terms to the right
-1.5x=-7.5
x=-7.5/-1.5
x=+5
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