# How do you solve 1/x = 2/x - 3?

Jan 4, 2016

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

#### Explanation:

firstly eliminate the fractions from the equation by multiplying through by x

$x \times \frac{1}{x} = x \times \frac{2}{x} - x \times 3$

→ 1 = 2 - 3x

now collect like terms : 1 - 2 = - 3x

→ - 1 = - 3x

now divide both sides by - 3
$\frac{- 1}{-} 3 = \frac{- 3}{-} 3$x

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