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

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Answer 1 · 2016-02-21T22:37:01

#x= 7/2 , x = 3/2 #

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 #

Answer 2 · 2016-02-22T00:30:05

#x=3/2,7/2#

First, we can divide both sides by #6#.

#(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#, then #abs(2x-5)=2# still, so we can write and solve the two following equations:

#2x-5=2#

#2x-5=-2#

Solving for each of these gives #x=7/2# and #x=3/2#.