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9/2x-21=3/2x+3
We move all terms to the left:
9/2x-21-(3/2x+3)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x+3)!=0We get rid of parentheses
x∈R
9/2x-3/2x-3-21=0
We multiply all the terms by the denominator
-3*2x-21*2x+9-3=0
We add all the numbers together, and all the variables
-3*2x-21*2x+6=0
Wy multiply elements
-6x-42x+6=0
We add all the numbers together, and all the variables
-48x+6=0
We move all terms containing x to the left, all other terms to the right
-48x=-6
x=-6/-48
x=1/8
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