What is the answer to 2/x = 1/(8x)+3 ?

The answer to 2/x = 1/(8x)+3 is x= 5/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2/x = 1/(8x)+3

\frac{2}{x} = \frac{1}{8 x} + 3

x = \frac{5}{8}

Decimal Notation

x = 0.625

Solution steps

\frac{2}{x} = \frac{1}{8 x} + 3

Multiply by LCM

16 = 1 + 24 x

Switch sides

1 + 24 x = 16

Move

1

to the right side

24 x = 15

Divide both sides by

24

x = \frac{5}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{8}

\frac{4}{x} = \frac{23}{8 x} + 3

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

\frac{1}{x} = x

\frac{1}{x} = 3

\frac{x - 6}{x + 9} = \frac{5}{8}