3/(5x-1)=1/(x+1)

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Solution for 3/(5x-1)=1/(x+1) equation: 



3/(5x-1)=1/(x+1)

We move all terms to the left:

3/(5x-1)-(1/(x+1))=0



Domain of the equation: (5x-1)!=0

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

5x!=1

x!=1/5

x!=1/5

x∈R





Domain of the equation: (x+1))!=0

x∈R



We calculate fractions


3x/((5x-1)*(x+1)))+(-(1*(5x-1))/((5x-1)*(x+1)))=0



We calculate terms in parentheses: -(1*(5x-1))/((5x-1)*(x+1))), so:

1*(5x-1))/((5x-1)*(x+1))

We multiply all the terms by the denominator


1*(5x-1))

Back to the equation:

-(1*(5x-1)))



We multiply all the terms by the denominator


3x-((1*(5x-1))))*((5x-1)*(x+1)))+(=0

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