# How do you solve #|2x - 5 | 6 = 12#?

##### 2 Answers

Feb 21, 2016

#### Explanation:

first write as |2x - 5 | = 2 (divide by 6 )

then 2x - 5 = 2 → 2x = 7 →

# x = 7/2 # also 2x - 5 = - 2 → 2x = 3 →

# x = 3/2 #

Feb 22, 2016

#### Explanation:

First, we can divide both sides by

#(abs(2x-5)6)/6=12/6#

#abs(2x-5)=2#

This can no be split up into two separate equations because of the absolute value.

Recall that if

#2x-5=2#

#2x-5=-2#

Solving for each of these gives