Answer:
[tex]x=7\text{ or } x=-3[/tex]
Step-by-step explanation:
So we have the equation:
[tex]|x-2|+4=9[/tex]
First, subtract 4 from both sides:
[tex]|x-2|=5[/tex]
Definition of Absolute Value:
[tex]x-2=5\text{ or } x-2=-5[/tex]
Add 2 to both sides for both equations:
[tex]x=7\text{ or } x=-3[/tex]
And we're done!
