What is the answer to 3/(x-2)+3=(4x)/(x-2) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3/(x-2)+3=(4x)/(x-2)

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

x = - 3

Solution steps

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

Multiply both sides by

x - 2

3 + 3 (x - 2) = 4 x

Expand

3 + 3 (x - 2) : 3 x - 3

3 x - 3 = 4 x

Move

3

to the right side

3 x = 4 x + 3

Move

4 x

to the left side

- x = 3

Divide both sides by

- 1

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = - 3

y^{- 3} = 64

0 = \frac{x + 2}{x - 6}

- \frac{2 x + 2}{x + 3} = 6

[\frac{x + 4}{2 x - 1}] = 2

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

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