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5/x-2=8/x+1
We move all terms to the left:
5/x-2-(8/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-8/x-1-2=0
We multiply all the terms by the denominator
-1*x-2*x+5-8=0
We add all the numbers together, and all the variables
-3x-3=0
We move all terms containing x to the left, all other terms to the right
-3x=3
x=3/-3
x=-1
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