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

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

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

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

x = - 2

Solution steps

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

Cross multiply

3 x = 2 x - 2

Move

2 x

to the left side

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 0

Combine undefined points with solutions:

x = - 2

6 + \frac{4}{x} = - 5

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

\frac{x}{x - 4} = 3 - \frac{5}{x - 3}

\frac{1}{a x} = \frac{1}{b x} - \frac{1}{c}

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