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1/2x+6=3/2x+9
We move all terms to the left:
1/2x+6-(3/2x+9)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x+9)!=0We get rid of parentheses
x∈R
1/2x-3/2x-9+6=0
We multiply all the terms by the denominator
-9*2x+6*2x+1-3=0
We add all the numbers together, and all the variables
-9*2x+6*2x-2=0
Wy multiply elements
-18x+12x-2=0
We add all the numbers together, and all the variables
-6x-2=0
We move all terms containing x to the left, all other terms to the right
-6x=2
x=2/-6
x=-1/3
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