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

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

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2/x = 1/(x-1)

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

x = 2

Solution steps

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

Cross multiply

2 x - 2 = x

Move

2

to the right side

2 x = x + 2

Move

x

to the left side

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Combine undefined points with solutions:

x = 2

l, \frac{2 k}{2 l} = 0.25

10 = \frac{2 π}{b}

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

\frac{12}{5} = \frac{x + 1}{x - 6}

\frac{- 2 x}{( x ^{2} + 1 ) ^{2}} = 0