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9/2x+5=3/2x+15
We move all terms to the left:
9/2x+5-(3/2x+15)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x+15)!=0We get rid of parentheses
x∈R
9/2x-3/2x-15+5=0
We multiply all the terms by the denominator
-15*2x+5*2x+9-3=0
We add all the numbers together, and all the variables
-15*2x+5*2x+6=0
Wy multiply elements
-30x+10x+6=0
We add all the numbers together, and all the variables
-20x+6=0
We move all terms containing x to the left, all other terms to the right
-20x=-6
x=-6/-20
x=3/10
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