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