# How do you solve #12|x/4+11|= 60#?

##### 1 Answer

Jul 25, 2016

x = - 24 , x = - 64

#### Explanation:

There are 2 parts to solve here.

First divide both sides by 12

#(cancel(12)^1|x/4+11|)/cancel(12)^1=60/12=5# (1) solve

#x/4+11=5rArrx/4=-6# multiply both sides by 4

#cancel(4)^1xxx/cancel(4)^1=-6xx4rArrx=-24# and (2) solve

#x/4+11=-5" and proceed as before"#

#rArrx/4=-16rArrx=-64# Thus solutions are x = -24 and x = -64