# Twice a number decreased by the sum of half the same number and 6 is equal to nine. What is the number?

Jul 19, 2018

10

#### Explanation:

$2 x - \left(\frac{x}{2} + 6\right) = 9$

$2 x - \frac{x}{2} - 6 = 9$

$4 x - x - 12 = 18$

$3 x = 18 + 12$

$3 x = 30$

$x = 10$