What is the answer to 1/x = 1/(4-x) ?

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

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1/x = 1/(4-x)

\frac{1}{x} = \frac{1}{4 - x}

x = 2

Solution steps

\frac{1}{x} = \frac{1}{4 - x}

Cross multiply

4 - x = x

Move

4

to the right side

- x = x - 4

Move

x

to the left side

- 2 x = - 4

Divide both sides by

- 2

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 4

Combine undefined points with solutions:

x = 2

29700 = \frac{212906.606}{x ^{3}}

\frac{1}{2} x - 8 = \frac{1}{4 x} - 6

\frac{1.5}{48} = \frac{12}{x}

9 + \frac{2}{w - 1} = - \frac{4}{w - 2}

t, h = \frac{2}{t ^{3}} f