What is the answer to 8/x+2=(x+4)/(x-6) ?

The answer to 8/x+2=(x+4)/(x-6) is x=12,x=-4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

8/x+2=(x+4)/(x-6)

\frac{8}{x} + 2 = \frac{x + 4}{x - 6}

x = 12, x = - 4

Solution steps

\frac{8}{x} + 2 = \frac{x + 4}{x - 6}

Multiply by LCM

8 (x - 6) + 2 x (x - 6) = x (x + 4)

Solve

8 (x - 6) + 2 x (x - 6) = x (x + 4) : x = 12, x = - 4

x = 12, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 6

Combine undefined points with solutions:

x = 12, x = - 4

\frac{x - 14}{x - 12} = \frac{7}{8}

\frac{2 x}{x - 3} = 1 - \frac{6}{x - 3}

\frac{4}{x - 2} = 3

- 2 + \frac{7}{6 x} = \frac{3}{2 x}

\frac{1}{x} + \frac{x}{2} = \frac{11}{6}

What is the answer to 8/x+2=(x+4)/(x-6) ?
The answer to 8/x+2=(x+4)/(x-6) is x=12,x=-4
Solve for x: 8/x+2=(x+4)/(x-6)
The solution is x=12,x=-4