What is the answer to 2/(x-1)= 4/(x+2) ?

The answer to 2/(x-1)= 4/(x+2) is x=4

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2/(x-1)= 4/(x+2)

\frac{2}{x - 1} = \frac{4}{x + 2}

x = 4

Solution steps

\frac{2}{x - 1} = \frac{4}{x + 2}

Cross multiply

2 x + 4 = 4 x - 4

Move

4

to the right side

2 x = 4 x - 8

Move

4 x

to the left side

- 2 x = - 8

Divide both sides by

- 2

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 2

Combine undefined points with solutions:

x = 4

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

X, 4 Y = \frac{3 X}{X + 1}

\frac{x}{0.1 - x} = 7.5

\frac{4}{x} = \frac{2}{5}

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