Answer:
The solutions are x=8 and x=-4
Step-by-step explanation:
we have
[tex]\left|x-2\right|=6[/tex]
step 1
Find the first solution
case positive
[tex]+(x-2)=6[/tex]
[tex]x=6+2=8[/tex]
step 2
Find the second solution
case negative
[tex]-(x-2)=6[/tex]
[tex]-x+2=6[/tex]
[tex]x=2-6=-4[/tex]
