What is the answer to 3/(x-2)= 8/(x+6) ?

The answer to 3/(x-2)= 8/(x+6) is x= 34/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3/(x-2)= 8/(x+6)

\frac{3}{x - 2} = \frac{8}{x + 6}

x = \frac{34}{5}

Decimal Notation

x = 6.8

Solution steps

\frac{3}{x - 2} = \frac{8}{x + 6}

Cross multiply

3 x + 18 = 8 x - 16

Move

18

to the right side

3 x = 8 x - 34

Move

8 x

to the left side

- 5 x = - 34

Divide both sides by

- 5

x = \frac{34}{5}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 6

Combine undefined points with solutions:

x = \frac{34}{5}

\frac{x}{x + 1} - 2 = \frac{6}{x - 5}

- \frac{3 x}{x - 5} - 4 = - \frac{1}{x - 5}

\frac{2 x - 10}{3 x - 20} = \frac{7}{8}

\frac{8 x}{x + 1} + 1 = \frac{8}{x ^{2} + x}

\frac{( x ^{2} + x )}{x} = 4

What is the answer to 3/(x-2)= 8/(x+6) ?
The answer to 3/(x-2)= 8/(x+6) is x= 34/5
Solve for x: 3/(x-2)= 8/(x+6)
The solution is x= 34/5