[tex]-2d-2 < 3d+8\qquad|\text{add 2 to both sides}\\\\-2d < 3d+10\qquad|\text{subtract 3d from both sides}\\\\-5d < 10\qquad\\text{change the signs}\\\\5d > -10\qquad|\text{divide both sides by 5}\\\\\boxed{d > -2}[/tex]