What is the answer to 1/(2x)= 4/3 ?

The answer to 1/(2x)= 4/3 is x= 3/8

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1/(2x)= 4/3

\frac{1}{2 x} = \frac{4}{3}

x = \frac{3}{8}

Solution steps

\frac{1}{2 x} = \frac{4}{3}

Cross multiply

3 = 8 x

Switch sides

8 x = 3

Divide both sides by

8

x = \frac{3}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{3}{8}

\frac{y + 2}{y} = \frac{5}{3}

\frac{6}{x - 8} = \frac{2}{x + 6}

\frac{r}{r - 2} - 5 = \frac{2}{r - 2}

\frac{x + 3}{x - 5} = 0

\frac{x}{x + 3} = \frac{8}{x + 6}