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Popular >

x/(x-1)=2

Solution

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

x = 2

Solution steps

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

Multiply both sides by

x - 1

x = 2 (x - 1)

Expand

2 (x - 1) : 2 x - 2

x = 2 x - 2

Move

2 x

to the left side

- x = - 2

Divide both sides by

- 1

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 2

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

\frac{10}{9} = \frac{3}{Q}

x + \frac{2}{x} = \frac{1}{a} + 2 a

\frac{1}{x + 1} + \frac{9}{x + 9} = 1

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