What is the answer to 5/x =-3/(x+4) ?

The answer to 5/x =-3/(x+4) is x=-5/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5/x =-3/(x+4)

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

x = - \frac{5}{2}

Decimal Notation

x = - 2.5

Solution steps

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

Cross multiply

5 x + 20 = - x \cdot 3

Move

20

to the right side

5 x = - x \cdot 3 - 20

Move

x 3

to the left side

8 x = - 20

Divide both sides by

8

x = - \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 4

Combine undefined points with solutions:

x = - \frac{5}{2}

\frac{x - 4}{3 x} + 1 = \frac{x + 2}{x}

y, y^{- 1} = x (3 e^{x} + c)

\frac{x + 1}{x} = \frac{x}{x + 1}

\frac{x ^{2} - 4 x}{x - 4} = 0

\frac{5}{x + 3} = 0