What is the answer to 1/x+1/(5x)=6 ?

The answer to 1/x+1/(5x)=6 is x= 1/5

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1/x+1/(5x)=6

\frac{1}{x} + \frac{1}{5 x} = 6

x = \frac{1}{5}

Decimal Notation

x = 0.2

Solution steps

\frac{1}{x} + \frac{1}{5 x} = 6

Multiply by LCM

6 = 30 x

Switch sides

30 x = 6

Divide both sides by

30

x = \frac{1}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{5}

\frac{x}{3} + \frac{x - 1}{x} = \frac{7}{6}

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

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

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

6 = \frac{78}{w}