What is the answer to (x-3)/(x-1)=2 ?

The answer to (x-3)/(x-1)=2 is x=-1

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(x-3)/(x-1)=2

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

x = - 1

Solution steps

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

Multiply both sides by

x - 1

x - 3 = 2 (x - 1)

Expand

2 (x - 1) : 2 x - 2

x - 3 = 2 x - 2

Move

3

to the right side

x = 2 x + 1

Move

2 x

to the left side

- x = 1

Divide both sides by

- 1

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = - 1

\frac{1}{x - 2} + \frac{1}{x + 2} = \frac{6}{5}

\frac{x - 4}{3 x} = \frac{1}{5 x} + 1

\frac{2}{a - 2} = \frac{3 a - 1}{2 a + 11}

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

y, \frac{1}{y} + \frac{1}{x} = 1