What is the answer to x/(3x+4)=4 ?

The answer to x/(3x+4)=4 is x=-16/11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x/(3x+4)=4

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

x = - \frac{16}{11}

Decimal Notation

x = - 1.45454 \dots

Solution steps

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

Multiply both sides by

3 x + 4

x = 4 (3 x + 4)

Expand

4 (3 x + 4) : 12 x + 16

x = 12 x + 16

Move

12 x

to the left side

- 11 x = 16

Divide both sides by

- 11

x = - \frac{16}{11}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{4}{3}

Combine undefined points with solutions:

x = - \frac{16}{11}

\frac{3 x + 1}{x} = \frac{4}{3}

\frac{1}{2 x - 6} = - 10

x + \frac{35}{x} = 12

\frac{23}{5} = \frac{46}{n}

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