Answer :

naǫ
[tex]-2|x|=-8 \ \ \ |\div (-2) \\ |x|=4 \\ x=4 \ \lor \ x=-4 \\ \boxed{x=-4 \hbox{ or } x=4}[/tex]
[tex]-2|x|=-8\\ |x|=4\\ x=-4 \vee x=4[/tex]