[tex]2*|x+1|+1=|x+1|+8 \Leftrightarrow \\ \Leftrightarrow 2*|x+1|-|x+1|=8-1 \Leftrightarrow \\ \Leftrightarrow |x+1|=7 \Rightarrow x+1 = \pm 7. \\ \\ x+1=-7 \Rightarrow x=-8. \\ x+1=7 \Rightarrow x=6. \\ \\ \underline{Solutie}: \boxed{x \in \{-8;6\}}.[/tex]
