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

The answer to 2/(3(8-1/x))=2 is x= 3/23

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\frac{2}{3 ( 8 - \frac{1}{x} )} = 2

x = \frac{3}{23}

Decimal Notation

x = 0.13043 \dots

Solution steps

\frac{2}{3 ( 8 - \frac{1}{x} )} = 2

Simplify

\frac{2}{3 ( 8 - \frac{1}{x} )} : \frac{2 x}{3 ( 8 x - 1 )}

\frac{2 x}{3 ( 8 x - 1 )} = 2

Multiply both sides by

3 (8 x - 1)

2 x = 6 (8 x - 1)

Expand

6 (8 x - 1) : 48 x - 6

2 x = 48 x - 6

Move

48 x

to the left side

- 46 x = - 6

Divide both sides by

- 46

x = \frac{3}{23}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{8}, x = 0

Combine undefined points with solutions:

x = \frac{3}{23}

b, \frac{a}{b + 4} = 5

- \frac{6}{x} = 9

d, \frac{20}{- d} = - 15

y, x = \frac{5 + y}{y}

\frac{4}{y} = \frac{y}{16}