[tex]\it |2x+1|-5=12|_{+5} \Rightarrow |2x+1|=17 \Rightarrow 2x+1=\pm17 \Rightarrow \\ \\ \\ \Rightarrow 2x+1\in\{-17,\ 17\}|_{-1} \Rightarrow 2x\in\{-18,\ \ 16\}|_{:2} \Rightarrow x\in\{-9,\ \ 8\}[/tex]
