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-9=3x/2-6
We move all terms to the left:
-9-(3x/2-6)=0
We get rid of parentheses
-3x/2+6-9=0
We multiply all the terms by the denominator
-3x+6*2-9*2=0
We add all the numbers together, and all the variables
-3x-6=0
We move all terms containing x to the left, all other terms to the right
-3x=6
x=6/-3
x=-2
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