Cook the linguine in well-salted boiling water until al dente. Reserve ½ cup of the pasta water, then drain.
While the pasta cooks, pat the shrimp dry and season with the salt and pepper.
In a large skillet over medium-high heat, melt the butter with the olive oil. Add the shrimp and sear 1–2 minutes per side, until pink. Transfer to a plate.
In the same skillet, add the garlic and red pepper flakes and cook 30 seconds until fragrant. Pour in the wine and lemon juice, scraping up the browned bits, and simmer 2–3 minutes.
Return the shrimp to the skillet, add the drained linguine, and toss with the sauce, loosening with the reserved pasta water as needed.
Toss with the parsley and serve with lemon wedges.