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

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

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4/x = 2/(x-1)

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

x = 2

Solution steps

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

Cross multiply

4 x - 4 = x \cdot 2

Move

4

to the right side

4 x = x \cdot 2 + 4

Move

x 2

to the left side

2 x = 4

Divide both sides by

2

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Combine undefined points with solutions:

x = 2

\frac{3}{2 x + 1} = \frac{6}{x - 1}

1 - \frac{2}{3 y} = \frac{6}{15}

y, x = \frac{3 y + 1}{y - 4}

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

\frac{x - 4}{4 x + 8} = \frac{1}{2}