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

1 Answer
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