2x/x-1-3x/x+1=1/x

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Solution for 2x/x-1-3x/x+1=1/x equation: 



2x/x-1-3x/x+1=1/x

We move all terms to the left:

2x/x-1-3x/x+1-(1/x)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

2x/x-3x/x-(+1/x)-1+1=0

We add all the numbers together, and all the variables

2x/x-3x/x-(+1/x)=0

We get rid of parentheses

2x/x-3x/x-1/x=0

We multiply all the terms by the denominator


2x-3x-1=0

We add all the numbers together, and all the variables

-1x-1=0

We move all terms containing x to the left, all other terms to the right

-x=1

x=1/-1

x=-1

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