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

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

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1/(x-1)=2

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

x = \frac{3}{2}

Solution steps

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

Multiply both sides by

x - 1

1 = 2 (x - 1)

Switch sides

2 (x - 1) = 1

Divide both sides by

2

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

Move

1

to the right side

x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{3}{2}

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

\frac{12}{x} = \frac{2}{18}

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

7 x^{- 2} + 3 x - 10 = 0

\frac{2 x}{x + 2} = - \frac{6}{x + 4}