Preheat oven to 375 degrees.
Trim and prep brussels sprouts. Place into a medium mixing bowl and toss with 2 tablespoons of the olive oil, vinegar, ½ tsp. of the salt, and black pepper to taste.
Place coated sprouts on baking sheet and roast in oven for 25-30 minutes.
While sprouts are roasting, score the skin of each salmon filet with a sharp knife (Three scores each should do it.)
Season salmon filets with additional salt and pepper. Season both sides, including the skin.
Preheat large pan to medium-high heat. Add the remaining olive oil to pan.
Place salmon in pan, skin side first, and sear for 3-4 minutes. Turn to other side and sear additional 2-3 minutes. Finish cooking salmon in oven, for an additional 4-5 minutes. Rest 5 minutes before serving.