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

The answer to 2/(x+2)=3 is x=-4/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2/(x+2)=3

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

x = - \frac{4}{3}

Decimal Notation

x = - 1.33333 \dots

Solution steps

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

Multiply both sides by

x + 2

2 = 3 (x + 2)

Switch sides

3 (x + 2) = 2

Divide both sides by

3

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

Move

2

to the right side

x = - \frac{4}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - \frac{4}{3}

\frac{6}{x - 1} = \frac{4}{x}

\frac{5}{x + 10} = \frac{x}{3 x - 1}

\frac{x + 2}{7} = \frac{8}{x + 3}

\frac{3}{7 x} = 2

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