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

1 Answer
Dec 7, 2016

Answer:

#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#