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5/x-9=8/x+5
We move all terms to the left:
5/x-9-(8/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-8/x-5-9=0
We multiply all the terms by the denominator
-5*x-9*x+5-8=0
We add all the numbers together, and all the variables
-14x-3=0
We move all terms containing x to the left, all other terms to the right
-14x=3
x=3/-14
x=-3/14
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