What is the answer to (x-3)/(x+5)= x/(x+2) ?

The answer to (x-3)/(x+5)= x/(x+2) is x=-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-3)/(x+5)= x/(x+2)

\frac{x - 3}{x + 5} = \frac{x}{x + 2}

x = - 1

Solution steps

\frac{x - 3}{x + 5} = \frac{x}{x + 2}

Cross multiply

x^{2} - x - 6 = x^{2} + 5 x

Move

6

to the right side

x^{2} - x = x^{2} + 5 x + 6

Subtract

x^{2} + 5 x

from both sides

x^{2} - x - (x^{2} + 5 x) = x^{2} + 5 x + 6 - (x^{2} + 5 x)

Simplify

- 6 x = 6

Divide both sides by

- 6

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 5, x = - 2

Combine undefined points with solutions:

x = - 1

\frac{x ^{3}}{x + x + x} = 12

x + \frac{4}{x} = - 5

y, x = \frac{1}{y + 2}

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

\frac{x}{4} - \frac{5}{2 x} = - \frac{1}{4 x}

What is the answer to (x-3)/(x+5)= x/(x+2) ?
The answer to (x-3)/(x+5)= x/(x+2) is x=-1
Solve for x: (x-3)/(x+5)= x/(x+2)
The solution is x=-1