What is the answer to 4+6/x = 5/2 ?

The answer to 4+6/x = 5/2 is x=-4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4+6/x = 5/2

4 + \frac{6}{x} = \frac{5}{2}

x = - 4

Solution steps

4 + \frac{6}{x} = \frac{5}{2}

Multiply by LCM

8 x + 12 = 5 x

Move

12

to the right side

8 x = 5 x - 12

Move

5 x

to the left side

3 x = - 12

Divide both sides by

3

x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 4

\frac{5}{x} + 3 = \frac{4}{x - 1}

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

3 x - \frac{2}{x} = 5

\frac{( - 2 x ^{2} + 5 x - 1 )}{2 x - 1} = 0

16 x^{- 4} - 17 x^{- 2} + 1 = 0