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5/2x+9=-1/2x+3
We move all terms to the left:
5/2x+9-(-1/2x+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
5/2x+1/2x-3+9=0
We multiply all the terms by the denominator
-3*2x+9*2x+5+1=0
We add all the numbers together, and all the variables
-3*2x+9*2x+6=0
Wy multiply elements
-6x+18x+6=0
We add all the numbers together, and all the variables
12x+6=0
We move all terms containing x to the left, all other terms to the right
12x=-6
x=-6/12
x=-1/2
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