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

The answer to 2/5-4/x =-2 is x= 5/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2/5-4/x =-2

\frac{2}{5} - \frac{4}{x} = - 2

x = \frac{5}{3}

Decimal Notation

x = 1.66666 \dots

Solution steps

\frac{2}{5} - \frac{4}{x} = - 2

Multiply by LCM

2 x - 20 = - 10 x

Move

20

to the right side

2 x = - 10 x + 20

Move

10 x

to the left side

12 x = 20

Divide both sides by

12

x = \frac{5}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{3}

n, I = \frac{n E}{R + n S}

\frac{8 x + 1}{x} = 3

\frac{5 x ^{2} + 6}{x ^{2}} = 0

\frac{4 x - 1}{x - 6} = 0

400 = x - 4 \cdot \frac{400}{x}