What is the answer to 1/(x-5)x=7 ?

The answer to 1/(x-5)x=7 is x= 35/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

1/(x-5)x=7

\frac{1}{x - 5} x = 7

x = \frac{35}{6}

Decimal

x = 5.83333 \dots

Solution steps

\frac{1}{x - 5} x = 7

Simplify

\frac{1}{x - 5} x : \frac{x}{x - 5}

\frac{x}{x - 5} = 7

Multiply both sides by

x - 5

x = 7 (x - 5)

Expand

7 (x - 5) : 7 x - 35

x = 7 x - 35

Move

7 x

to the left side

- 6 x = - 35

Divide both sides by

- 6

x = \frac{35}{6}

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = \frac{35}{6}