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

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

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3/(x-1)= 2/x

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

x = - 2

Solution steps

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

\frac{2}{5} = \frac{20}{x}

\frac{4}{x} = \frac{1}{5}

\frac{x - 2}{2 x + 4} = \frac{1}{5}

\frac{8}{x} = - \frac{4}{7}

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