What is the answer to 4/(5x)-3= 2/x ?

The answer to 4/(5x)-3= 2/x is x=-2/5

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4/(5x)-3= 2/x

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

x = - \frac{2}{5}

Decimal Notation

x = - 0.4

Solution steps

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

Multiply by LCM

4 - 15 x = 10

Move

4

to the right side

- 15 x = 6

Divide both sides by

- 15

x = - \frac{2}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{2}{5}

u, \frac{1}{f} = \frac{1}{u} + \frac{1}{v}

\frac{1}{x} = \frac{1}{20} + \frac{1}{80}

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

1 - \frac{3}{x ^{2}} = 0

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