Answer: -6
Step-by-step explanation: To determine the largest integer value of x in the solution of the inequality 2x+6<-4, we first need to isolate x on one side of the inequality. We can do this by subtracting 6 from both sides of the inequality, which gives us 2x<-10. Next, we can divide both sides of the inequality by 2, which gives us x<-5. Since the inequality has a strict inequality symbol, we can conclude that the largest integer value of x that satisfies the inequality is -6.