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

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

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x/(x-1)-2/x = 1/(x-1)

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

x = 2

Solution steps

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

Multiply by LCM

x^{2} - 2 (x - 1) = x

Solve

x^{2} - 2 (x - 1) = x : x = 2, x = 1

x = 2, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Since the equation is undefined for:

1

x = 2

\frac{x ^{2}}{x - 10} = \frac{100}{x - 10} - 10

x - \frac{3 x + 5}{x - 10} = 5

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

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

\frac{3}{x ^{2}} - \frac{44}{x} = 15

What is the answer to x/(x-1)-2/x = 1/(x-1) ?
The answer to x/(x-1)-2/x = 1/(x-1) is x=2
Solve for x: x/(x-1)-2/x = 1/(x-1)
The solution is x=2