Answer:
[tex]x=-2\quad \mathrm{or}\quad \:x=2[/tex]
Step-by-step explanation:
[tex]|4x + 2| = x + 8 \\\\\mathrm{For\:each\:absolute\:find\:positive\:and\:negative\:intervals}\\\\\mathrm{Solve\:the\:inequality\:for\:each\:interval:}\\\\\mathrm{For\:}x<-\frac{1}{2}:\quad x=-2\\\\\mathrm{For\:}x\ge \:-\frac{1}{2}:\quad x=2\\\\\mathrm{Combine\:Solutions:}\\\\x=-2\quad \mathrm{or}\quad \:x=2[/tex]
