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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = 5

Solution steps

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

Multiply by LCM

2 x + 2 = 3 x - 3

Move

2

to the right side

2 x = 3 x - 5

Move

3 x

to the left side

- x = - 5

Divide both sides by

- 1

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1

Combine undefined points with solutions:

x = 5

\frac{4 - x}{1 - x} = \frac{12}{3 - x}

\frac{3 t ^{2} - 6}{6 t - 2} = 3

\frac{t + 9}{t + 4} = 5

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

\frac{4}{y - 3} = \frac{6}{y + 3}

What is the answer to (2x)/(x-1)-2= 3/(x+1) ?
The answer to (2x)/(x-1)-2= 3/(x+1) is x=5
Solve for x: (2x)/(x-1)-2= 3/(x+1)
The solution is x=5