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9/2x=3/2x+2
We move all terms to the left:
9/2x-(3/2x+2)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x+2)!=0We get rid of parentheses
x∈R
9/2x-3/2x-2=0
We multiply all the terms by the denominator
-2*2x+9-3=0
We add all the numbers together, and all the variables
-2*2x+6=0
Wy multiply elements
-4x+6=0
We move all terms containing x to the left, all other terms to the right
-4x=-6
x=-6/-4
x=1+1/2
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