What is the answer to 1/(x+1)-2/(x-1)=3 ?

The answer to 1/(x+1)-2/(x-1)=3 is x=0,x=-1/3

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

\frac{1}{x + 1} - \frac{2}{x - 1} = 3

x = 0, x = - \frac{1}{3}

Decimal Notation

x = 0, x = - 0.33333 \dots

Solution steps

\frac{1}{x + 1} - \frac{2}{x - 1} = 3

Multiply by LCM

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

Solve

x - 1 - 2 (x + 1) = 3 (x + 1) (x - 1) : x = 0, x = - \frac{1}{3}

x = 0, x = - \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 1

Combine undefined points with solutions:

x = 0, x = - \frac{1}{3}

\frac{2}{3 x} = \frac{1}{9}

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

\frac{3}{x} - \frac{2}{x - 1} = 6

9 - \frac{x}{x + 3} = - \frac{5}{x + 3}

\frac{1}{4} + \frac{1}{6} = \frac{1}{x}

What is the answer to 1/(x+1)-2/(x-1)=3 ?
The answer to 1/(x+1)-2/(x-1)=3 is x=0,x=-1/3
Solve for x: 1/(x+1)-2/(x-1)=3
The solution is x=0,x=-1/3