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3/x-2=5/x+1
We move all terms to the left:
3/x-2-(5/x+1)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+1)!=0We get rid of parentheses
x∈R
3/x-5/x-1-2=0
We multiply all the terms by the denominator
-1*x-2*x+3-5=0
We add all the numbers together, and all the variables
-3x-2=0
We move all terms containing x to the left, all other terms to the right
-3x=2
x=2/-3
x=-2/3
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