What is the answer to 1/x-2/(x+1)= 3/(6x) ?

The answer to 1/x-2/(x+1)= 3/(6x) is x= 1/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/x-2/(x+1)= 3/(6x)

\frac{1}{x} - \frac{2}{x + 1} = \frac{3}{6 x}

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

\frac{1}{x} - \frac{2}{x + 1} = \frac{3}{6 x}

Multiply by LCM

- 2 x + 2 = x + 1

Move

2

to the right side

- 2 x = x - 1

Move

x

to the left side

- 3 x = - 1

Divide both sides by

- 3

x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 0

Combine undefined points with solutions:

x = \frac{1}{3}

2 x - \frac{2}{x} = 0

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

\frac{3}{x + 1} - \frac{1}{x ^{2} - 1} = 0

\frac{x + 1}{x - 2} + \frac{2 x}{x + 2} + 2 = 0

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

What is the answer to 1/x-2/(x+1)= 3/(6x) ?
The answer to 1/x-2/(x+1)= 3/(6x) is x= 1/3
Solve for x: 1/x-2/(x+1)= 3/(6x)
The solution is x= 1/3