What is the answer to 4=(2x)/(x+1) ?

The answer to 4=(2x)/(x+1) is x=-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4=(2x)/(x+1)

4 = \frac{2 x}{x + 1}

x = - 2

Solution steps

4 = \frac{2 x}{x + 1}

Multiply both sides by

x + 1

4 (x + 1) = 2 x

Expand

4 (x + 1) : 4 x + 4

4 x + 4 = 2 x

Move

4

to the right side

4 x = 2 x - 4

Move

2 x

to the left side

2 x = - 4

Divide both sides by

2

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = - 2

\frac{5}{x - 1} = \frac{3}{2 x + 3}

k^{3} + 3 = \frac{16}{k ^{2} - 3}

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

\frac{3 x + 1}{( 3 x + 1 ) ^{2} + 25} = 0

- \frac{1}{3} = \frac{1}{1 + c}