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

1 Answer
Mar 2, 2017

Answer:

#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