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5/x+2=3/x-5
We move all terms to the left:
5/x+2-(3/x-5)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-5)!=0We get rid of parentheses
x∈R
5/x-3/x+5+2=0
We multiply all the terms by the denominator
5*x+2*x+5-3=0
We add all the numbers together, and all the variables
7x+2=0
We move all terms containing x to the left, all other terms to the right
7x=-2
x=-2/7
x=-2/7
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