[tex]9.\\-|2x-8|-6=-12\ \ \ \ |+6\\\\-|2x-8|=-6\ \ \ \ |\cdot(-1)\\\\|2x-8|=6\iff2x-8=6\ \vee\ 2x-8=-6\ \ \ \ \ |+8\\\\2x=14\ \vee\ 2x=2\ \ \ \ \ |:2\\\\\boxed{x=7\ \vee\ x=1}[/tex]
[tex]10.\\-5|x+3|+3=-17\ \ \ \ \ |-3\\\\-5|x+3|=-20\ \ \ \ |:(-5)\\\\|x+3|=4\iff x+3=4\ \vee\ x+3=-4\ \ \ \ |-3\\\\\boxed{x=1\ \vee\ x=-7}[/tex]
[tex]11.\\\dfrac{2.5+5.5}{2}=\dfrac{8}{2}=4\\\\4-2.5=1.5\\5.5-4=1.5\\\\Your\ equation:\\\\\boxed{|x-4|=1.5}[/tex]
