What is the answer to 1/(5x)+(x+4)/x = 6/5 ?

The answer to 1/(5x)+(x+4)/x = 6/5 is x=21

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1/(5x)+(x+4)/x = 6/5

\frac{1}{5 x} + \frac{x + 4}{x} = \frac{6}{5}

x = 21

Solution steps

\frac{1}{5 x} + \frac{x + 4}{x} = \frac{6}{5}

Multiply by LCM

5 x + 21 = 6 x

Move

21

to the right side

5 x = 6 x - 21

Move

6 x

to the left side

- x = - 21

Divide both sides by

- 1

x = 21

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 21

\frac{1}{7} - \frac{1}{2} = \frac{1}{x}

\frac{4}{x ^{2}} = 0

\frac{x}{x - 2} - \frac{3 x - 8}{x ^{2} - 5 x + 6} = 0

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

\frac{3}{x + 1} = \frac{9}{x ^{2} - 3 x - 4}

What is the answer to 1/(5x)+(x+4)/x = 6/5 ?
The answer to 1/(5x)+(x+4)/x = 6/5 is x=21
Solve for x: 1/(5x)+(x+4)/x = 6/5
The solution is x=21