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

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

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

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

x = - 5

Solution steps

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

Cross multiply

x - 1 = 2 x + 4

Move

1

to the right side

x = 2 x + 5

Move

2 x

to the left side

- x = 5

Divide both sides by

- 1

x = - 5

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 1

Combine undefined points with solutions:

x = - 5

x = \frac{- 4 x - 3}{x}

\frac{x}{1 - x} = 1.48

\frac{p}{1 - p} = e

\frac{0.3}{x} = - 0.12

\frac{x}{2} - \frac{5}{x - 3} = 3 x