What is the answer to x/(x-3)=(2x+2)/(x+1) ?

The answer to x/(x-3)=(2x+2)/(x+1) is x=6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x/(x-3)=(2x+2)/(x+1)

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

x = 6

Solution steps

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

Simplify

\frac{2 x + 2}{x + 1} : 2

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

Multiply both sides by

x - 3

x = 2 (x - 3)

Expand

2 (x - 3) : 2 x - 6

x = 2 x - 6

Move

2 x

to the left side

- x = - 6

Divide both sides by

- 1

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 3, x = - 1

Combine undefined points with solutions:

x = 6

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

\frac{8 x ^{2}}{x ^{4} + 16} = 1

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

5 x + 7 = \frac{5}{x - 1}

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

What is the answer to x/(x-3)=(2x+2)/(x+1) ?
The answer to x/(x-3)=(2x+2)/(x+1) is x=6
Solve for x: x/(x-3)=(2x+2)/(x+1)
The solution is x=6