Question

How do you solve |x+6|=21?

Answer 1

`x = 15` and `x = -27`

Explanation:

Because this equation uses the absolute value function we must solve for the term within the absolute value function for `21` and for `-21`:

`x + 6 = 21` and `x + 6 = -21`

`x + 6 - 6 = 21 - 6` and `x + 6 - 6 = -21 - 6`

`x + 0 = 15` and X + 0 = -27#

`x = 15` and `x = -27`