What is the answer to (x-4)/x =(2x+10)/(x+4) ?

The answer to (x-4)/x =(2x+10)/(x+4) is x=-8,x=-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-4)/x =(2x+10)/(x+4)

\frac{x - 4}{x} = \frac{2 x + 10}{x + 4}

x = - 8, x = - 2

Solution steps

\frac{x - 4}{x} = \frac{2 x + 10}{x + 4}

Cross multiply

(x - 4) (x + 4) = x (2 x + 10)

Solve

(x - 4) (x + 4) = x (2 x + 10) : x = - 8, x = - 2

x = - 8, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 4

Combine undefined points with solutions:

x = - 8, x = - 2

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

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

a, \frac{1}{a} = \frac{1}{b} + \frac{1}{c}

\frac{3}{x - 1} + \frac{2}{x} = 8

\frac{3 x ^{2} - 5 x}{3 x - 2} - 1 = \frac{2}{2 - 3 x}

What is the answer to (x-4)/x =(2x+10)/(x+4) ?
The answer to (x-4)/x =(2x+10)/(x+4) is x=-8,x=-2
Solve for x: (x-4)/x =(2x+10)/(x+4)
The solution is x=-8,x=-2