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

The answer to 3/x-2/(2x)= 1/3 is x=6

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

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

x = 6

Solution steps

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

Multiply by LCM

6 = x

Switch sides

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6

\frac{5}{2 x + 6} - \frac{1}{6} = \frac{2}{x + 4}

\frac{2 x - 1}{x + 7} = \frac{3 x + 4}{x - 1}

\frac{4}{x} - \frac{7}{3 x} = \frac{2}{5}

\frac{1}{x} = 0

a, \frac{1}{a} + \frac{1}{b} = \frac{1}{c}