What is the answer to (6x)/(x+4)+4=(2x+2)/(x-1) ?

The answer to (6x)/(x+4)+4=(2x+2)/(x-1) is x=2,x=-3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(6x)/(x+4)+4=(2x+2)/(x-1)

\frac{6 x}{x + 4} + 4 = \frac{2 x + 2}{x - 1}

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

Decimal Notation

x = 2, x = - 1.5

Solution steps

\frac{6 x}{x + 4} + 4 = \frac{2 x + 2}{x - 1}

Multiply by LCM

6 x (x - 1) + 4 (x + 4) (x - 1) = (2 x + 2) (x + 4)

Solve

6 x (x - 1) + 4 (x + 4) (x - 1) = (2 x + 2) (x + 4) : x = 2, x = - \frac{3}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 1

Combine undefined points with solutions:

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

\frac{9}{- t - 6} = \frac{27}{2 t + 22}

\frac{1}{2 x + 3} = - x + 7

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

1 + \frac{x}{x - 8} = \frac{4}{x - 8}

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

What is the answer to (6x)/(x+4)+4=(2x+2)/(x-1) ?
The answer to (6x)/(x+4)+4=(2x+2)/(x-1) is x=2,x=-3/2
Solve for x: (6x)/(x+4)+4=(2x+2)/(x-1)
The solution is x=2,x=-3/2