What is the answer to (-4)/x+10=20 ?

The answer to (-4)/x+10=20 is x=-2/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(-4)/x+10=20

\frac{- 4}{x} + 10 = 20

x = - \frac{2}{5}

Decimal Notation

x = - 0.4

Solution steps

\frac{- 4}{x} + 10 = 20

Move

10

to the right side

\frac{- 4}{x} = 10

Simplify

\frac{- 4}{x} : - \frac{4}{x}

- \frac{4}{x} = 10

Multiply both sides by

x

- 4 = 10 x

Switch sides

10 x = - 4

Divide both sides by

10

x = - \frac{2}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{2}{5}

3 \frac{2}{5} = \frac{3}{4 x}

\frac{x ^{4}}{( x ^{2} - 1 ) ^{2}} = 1

0 = \frac{1}{x - 4} - 2

\frac{3}{x + 1} + \frac{4}{x + 2} = 2

x, y = \frac{x}{x - 5}