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

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

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1/(x-2)= 1/2

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

x = 4

Solution steps

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

Cross multiply

2 = x - 2

Switch sides

x - 2 = 2

Move

2

to the right side

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 4

\frac{7}{x + 5} = \frac{6}{5}

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

y, \frac{- 2 x + y}{- x + 2 y} = 0

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

\frac{4.2}{3 x} = 7