2/x-1=5/x+1

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Solution for 2/x-1=5/x+1 equation:



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

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