Question

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

Answer 1

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