What is the answer to (x+1)/(x-1)-1= 1/x ?

The answer to (x+1)/(x-1)-1= 1/x is x=-1

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

\frac{x + 1}{x - 1} - 1 = \frac{1}{x}

x = - 1

Solution steps

\frac{x + 1}{x - 1} - 1 = \frac{1}{x}

Multiply by LCM

2 x = x - 1

Move

x

to the left side

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 0

Combine undefined points with solutions:

x = - 1

\frac{28}{x} = \frac{24}{x - 12}

\frac{8}{y} = \frac{2}{y - 2} + 1

\frac{6}{x + 5} = \frac{3}{x - 10}

\frac{x}{3} - \frac{6}{x} = 1

\frac{28}{420} = \frac{35}{x}

What is the answer to (x+1)/(x-1)-1= 1/x ?
The answer to (x+1)/(x-1)-1= 1/x is x=-1
Solve for x: (x+1)/(x-1)-1= 1/x
The solution is x=-1