What is the answer to (x-4)/(5x)= 1/(5x)+1 ?

The answer to (x-4)/(5x)= 1/(5x)+1 is x=-5/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-4)/(5x)= 1/(5x)+1

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

x = - \frac{5}{4}

Decimal Notation

x = - 1.25

Solution steps

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

Multiply both sides by

5 x

x - 4 = 1 + 5 x

Move

4

to the right side

x = 5 x + 5

Move

5 x

to the left side

- 4 x = 5

Divide both sides by

- 4

x = - \frac{5}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{5}{4}

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

\frac{7}{x + 1} - \frac{1}{2} = \frac{4}{3 x + 3}

\frac{8 x - 5}{2 x + 5} = 5 - \frac{3 x + 7}{3 x + 2}

\frac{1}{x + 6} + \frac{12}{x ^{2} - 36} = 1

\frac{y}{4} = \frac{9}{y}

What is the answer to (x-4)/(5x)= 1/(5x)+1 ?
The answer to (x-4)/(5x)= 1/(5x)+1 is x=-5/4
Solve for x: (x-4)/(5x)= 1/(5x)+1
The solution is x=-5/4