In a large skillet, cook and crumble the ground beef over medium heat. Once fully cooked, drain off any excess grease.
Add the garlic and ginger to the skillet and cook for about 1 minute.
Meanwhile, cook the linguine noodles according to the package directions. Rinse them under cold water and set aside.
To the skillet with the beef, add the soy sauce, beef broth, brown sugar, hoisin sauce, pepper, and red pepper flakes. Stir everything together until well combined.
In a small bowl, mix the cornstarch with a little cold water until smooth, then pour it into the skillet. Bring the mixture to a gentle boil and cook until the sauce thickens. Add the cooked noodles and toss until they are evenly coated with the sauce and beef.
Remove from heat and let the noodles sit in the sauce for a few minutes to absorb the flavor. Serve warm, garnished with sliced green onions and sesame seeds, if desired. Enjoy!