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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = 3

Solution steps

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

Multiply both sides by

3 - 2 x

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

Expand

- 3 (3 - 2 x) : - 9 + 6 x

3 + 2 x = - 9 + 6 x

Move

3

to the right side

2 x = 6 x - 12

Move

6 x

to the left side

- 4 x = - 12

Divide both sides by

- 4

x = 3

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{2}

Combine undefined points with solutions:

x = 3

y, - y^{- 1} = - x^{2} + 3

\frac{2}{5} = \frac{30}{3 t + 9}

0 = \frac{1}{x ^{2} - 9}

4 π r - \frac{2000}{r ^{2}} = 0

\frac{6}{x} = \frac{2}{4}