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9/x-1=-3/x+3
We move all terms to the left:
9/x-1-(-3/x+3)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+3)!=0We get rid of parentheses
x∈R
9/x+3/x-3-1=0
We multiply all the terms by the denominator
-3*x-1*x+9+3=0
We add all the numbers together, and all the variables
-4x+12=0
We move all terms containing x to the left, all other terms to the right
-4x=-12
x=-12/-4
x=+3
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