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5/x+3=9/x-1
We move all terms to the left:
5/x+3-(9/x-1)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-1)!=0We get rid of parentheses
x∈R
5/x-9/x+1+3=0
We multiply all the terms by the denominator
1*x+3*x+5-9=0
We add all the numbers together, and all the variables
4x-4=0
We move all terms containing x to the left, all other terms to the right
4x=4
x=4/4
x=1
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