01 - Bring a large pot of salted water to a boil. Cook linguine until al dente according to package instructions. Reserve 1/2 cup pasta water, drain pasta, and set aside.
02 - Pat shrimp dry with paper towels and season lightly with salt and black pepper.
03 - In a large skillet over medium-high heat, melt 2 tbsp butter with 2 tbsp olive oil. Add shrimp in a single layer and sauté 1–2 minutes per side until pink and opaque. Remove shrimp and set aside.
04 - Reduce heat to medium. Add remaining olive oil and butter to skillet. Sauté garlic and red pepper flakes for 1 minute until fragrant without browning.
05 - Pour in white wine or broth, scraping browned bits from skillet. Simmer for 2 minutes to reduce slightly.
06 - Stir in lemon juice and zest. Return shrimp and juices to skillet; toss gently and heat through for 1 minute.
07 - Add cooked linguine and half the parsley to skillet. Toss with reserved pasta water as needed to form a silky sauce coating the pasta.
08 - Adjust seasoning with salt and black pepper. Serve immediately garnished with remaining parsley, Parmesan cheese, and lemon wedges.