What is the answer to 2/x-3/(2x)= 1/5 ?

The answer to 2/x-3/(2x)= 1/5 is x= 5/2

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2/x-3/(2x)= 1/5

\frac{2}{x} - \frac{3}{2 x} = \frac{1}{5}

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

\frac{2}{x} - \frac{3}{2 x} = \frac{1}{5}

Multiply by LCM

5 = 2 x

Switch sides

2 x = 5

Divide both sides by

2

x = \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{2}

\frac{1}{x} = \frac{x - 34}{2 x ^{2}}

y, \frac{1}{x} + \frac{1}{y} = 1

x, \frac{x ^{2}}{x + y} = y^{2} + 1

\frac{9}{x - 2} = \frac{9}{2}

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