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x/2+7=3x/2-8
We move all terms to the left:
x/2+7-(3x/2-8)=0
We get rid of parentheses
x/2-3x/2+8+7=0
We multiply all the terms by the denominator
x-3x+8*2+7*2=0
We add all the numbers together, and all the variables
-2x+30=0
We move all terms containing x to the left, all other terms to the right
-2x=-30
x=-30/-2
x=+15
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