What is the answer to (x-8)/(x+8)= 5/9 ?

The answer to (x-8)/(x+8)= 5/9 is x=28

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-8)/(x+8)= 5/9

\frac{x - 8}{x + 8} = \frac{5}{9}

x = 28

Solution steps

\frac{x - 8}{x + 8} = \frac{5}{9}

Cross multiply

9 x - 72 = 5 x + 40

Move

72

to the right side

9 x = 5 x + 112

Move

5 x

to the left side

4 x = 112

Divide both sides by

4

x = 28

Verify Solutions

Find undefined (singularity) points:

x = - 8

Combine undefined points with solutions:

x = 28

\frac{5 k - 2}{3 k} = 7

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

\frac{2 x}{x + 7} = \frac{2 x - 7}{x}

\frac{5}{8} = \frac{n}{n - 9}

2 - \frac{1}{y + 1} = \frac{y}{y + 1}