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

The answer to 2/(x+1)= 1/(x-2) is x=5

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

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

x = 5

Solution steps

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

Cross multiply

2 x - 4 = x + 1

Move

4

to the right side

2 x = x + 5

Move

x

to the left side

x = 5

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 2

Combine undefined points with solutions:

x = 5

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

\frac{10}{8} = \frac{25}{x}

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

y, x = \frac{6 y + 3}{y - 8}

\frac{( a - 4 ) ( a + 4 )}{( a + 4 )} = 3