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

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

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

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

x = 3

Solution steps

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

Cross multiply

2 x - 2 = x + 1

Move

2

to the right side

2 x = x + 3

Move

x

to the left side

x = 3

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 1

Combine undefined points with solutions:

x = 3

\frac{48}{x} = 3

- \frac{12}{( x - 2 ) ^{2}} = - 3

\frac{x ^{2} + x - 6}{x - 2} = 0

\frac{10}{x} = - \frac{2}{9}

12 = \frac{4}{x}