# The quotient of a number and 3 is the same as the difference of the number doubled and 5. What is the number?

Sep 18, 2015

$x = 3$

#### Explanation:

Let $x$ equal the quotient.

$\frac{x}{3} = 2 x - 5$

Multiply both sides times $3$.

$x = 2 x \cdot 3 - 5 \cdot 3 =$

$x = 6 x - 15$

Subtract $6 x$ from both sides.

$- 5 x = - 15$

Divide both sides by $- 5$.

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

$x = 3$

Check

$\frac{3}{3} = 2 \cdot 3 - 5 =$

$1 = - 6 - 5 = 1$

$1 = 1$