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

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

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x/(x-1)= 1/2

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

x = - 1

Solution steps

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

Cross multiply

x \cdot 2 = x - 1

Move

x

to the left side

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = - 1

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

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

\frac{2}{x} + \frac{3 x - 1}{x + 3} = 4

40 x - 39 = \frac{40}{x}

\frac{x}{x + 7} = \frac{7}{6}