What is the answer to 1/(5x)= 2/5 ?

The answer to 1/(5x)= 2/5 is x= 1/2

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1/(5x)= 2/5

\frac{1}{5 x} = \frac{2}{5}

x = \frac{1}{2}

Solution steps

\frac{1}{5 x} = \frac{2}{5}

Cross multiply

5 = 10 x

Switch sides

10 x = 5

Divide both sides by

10

x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{2}

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

\frac{x + 1}{x + 2} = \frac{6}{8}

\frac{7}{4} = \frac{2}{k - 5}

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

3 π = \frac{2 π}{b}