We must solve the following inequality:
[tex]-2x-8>3x+12[/tex]In order to do that we simply pass the x to one side and the numbers to the other side:
[tex]\begin{gathered} -2x-8>3x+12 \\ -2x-8-12>3x \\ -8-12>3x+2x \\ -20>5x \\ -4>x \end{gathered}[/tex]So the correct answer is letter D.
[tex]x<-4[/tex]