# How do you solve for x: 5/x - 3 = 12?

Sep 1, 2016

$x = \frac{1}{3}$

#### Explanation:

Given -

$\frac{5}{x} - 3 = 12$

Multiply both sides by $x$

$\left(\frac{5}{x} - 3\right) \times x = 12 \times x$

$5 - 3 x = 12 x$

Add $- 5$ on both sides

$\cancel{5} - 3 x \cancel{- 5} = 12 x - 5$
$- 3 x = 12 x - 5$

Add $- 12 x$on both sides

$- 3 x - 12 x = \cancel{12 x} - 5 \cancel{- 12 x}$

$- 15 x = - 5$

Divide Both sides by $- 15$

$\frac{\cancel{- 15} x}{\cancel{- 15}} = \frac{- 5}{- 15}$

$x = \frac{1}{3}$