What is the answer to x/(x+4)+7/(x-2)=1 ?

The answer to x/(x+4)+7/(x-2)=1 is x=-12

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x/(x+4)+7/(x-2)=1

\frac{x}{x + 4} + \frac{7}{x - 2} = 1

x = - 12

Solution steps

\frac{x}{x + 4} + \frac{7}{x - 2} = 1

Multiply by LCM

x (x - 2) + 7 (x + 4) = (x + 4) (x - 2)

Expand

x (x - 2) : x^{2} - 2 x

x^{2} - 2 x + 7 (x + 4) = (x + 4) (x - 2)

Expand

7 (x + 4) : 7 x + 28

x^{2} - 2 x + 7 x + 28 = (x + 4) (x - 2)

Add similar elements:

- 2 x + 7 x = 5 x

x^{2} + 5 x + 28 = (x + 4) (x - 2)

Expand

(x + 4) (x - 2) : x^{2} + 2 x - 8

x^{2} + 5 x + 28 = x^{2} + 2 x - 8

Move

28

to the right side

x^{2} + 5 x = x^{2} + 2 x - 36

Subtract

x^{2} + 2 x

from both sides

x^{2} + 5 x - (x^{2} + 2 x) = x^{2} + 2 x - 36 - (x^{2} + 2 x)

Simplify

3 x = - 36

Divide both sides by

3

x = - 12

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 2

Combine undefined points with solutions:

x = - 12

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

c = 3 \cdot 1 0^{8} \frac{m}{s}

x^{2} + x^{- 2} - 6 = 0

0.27 = \frac{3}{x}

\frac{- 3}{- 9 x - 7} - 9 = 6

What is the answer to x/(x+4)+7/(x-2)=1 ?
The answer to x/(x+4)+7/(x-2)=1 is x=-12
Solve for x: x/(x+4)+7/(x-2)=1
The solution is x=-12