What is the answer to 1/x = 1/4+1/12 ?

The answer to 1/x = 1/4+1/12 is x=3

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1/x = 1/4+1/12

\frac{1}{x} = \frac{1}{4} + \frac{1}{12}

x = 3

Solution steps

\frac{1}{x} = \frac{1}{4} + \frac{1}{12}

Multiply both sides by

x

1 = \frac{1}{3} x

Switch sides

\frac{1}{3} x = 1

Multiply both sides by

3

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3

\frac{2 x - 5}{5 + 2 x} = \frac{7}{4}

\frac{1}{x} = 0.8489

7 + \frac{2}{x - 8} = x

\frac{1}{( x - 2 ) ^{2}} - \frac{12}{x - 2} + 35 = 0

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