What is the answer to (5-7x)/(x+5)=3 ?

The answer to (5-7x)/(x+5)=3 is x=-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(5-7x)/(x+5)=3

\frac{5 - 7 x}{x + 5} = 3

x = - 1

Solution steps

\frac{5 - 7 x}{x + 5} = 3

Multiply both sides by

x + 5

5 - 7 x = 3 (x + 5)

Expand

3 (x + 5) : 3 x + 15

5 - 7 x = 3 x + 15

Move

5

to the right side

- 7 x = 3 x + 10

Move

3 x

to the left side

- 10 x = 10

Divide both sides by

- 10

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 5

Combine undefined points with solutions:

x = - 1

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

\frac{x + 3}{x} + \frac{2}{3} = 10

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

x^{- 2} = \frac{1}{9}

2 x = \frac{1}{x}