How do you solve #abs(6-2x)=24#?

1 Answer
seol
Mar 2, 2017

#x=27#, #x=21#

Explanation:

Absolute value rule
#\abs{a+b}=x# means that #a+b=\pmx#; or:
#a+b=x# and #a+b=-x#

  • Applying this to your equation #\abs{6-2x}=24#...
    #6-2x=\pm24#
  • Isolating the variable #-2x=-6\pm24#
    #\rArr x=(-6\pm24)/-2\rArr 3\pm24#
  • Now splitting up #3+24=27# and #3-24=21#

Therefore, #x=27# and #x=21#

Confused? Here is a video on absolute values...
Khan Academy video

Related questions
See all questions in Absolute Value Equations
Impact of this question
2010 views around the world
You can reuse this answer
Creative Commons License