What is the answer to 3/(x+1)= x/(x-1)-1 ?

The answer to 3/(x+1)= x/(x-1)-1 is x=2

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

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

x = 2

Solution steps

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

Multiply by LCM

3 x - 3 = x + 1

Move

3

to the right side

3 x = x + 4

Move

x

to the left side

2 x = 4

Divide both sides by

2

x = 2

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 1

Combine undefined points with solutions:

x = 2

\frac{8}{x} = \frac{12}{27}

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

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

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

\frac{4 x}{33 + x} = \frac{1}{3}

What is the answer to 3/(x+1)= x/(x-1)-1 ?
The answer to 3/(x+1)= x/(x-1)-1 is x=2
Solve for x: 3/(x+1)= x/(x-1)-1
The solution is x=2