Bring a large pot of salted water to a rolling boil—you want it to sound aggressive, almost angry. This salt matters because it's your only chance to season the pasta itself; drop spaghetti in and cook according to package directions minus one minute to keep it just shy of fully tender.
While pasta cooks, melt butter with olive oil in a wide skillet over medium heat. I use medium heat on purpose because high heat burns garlic and tastes bitter—that's a mistake I made twice before learning. Once the butter foams, add minced garlic and lemon zest together, stirring constantly for exactly 60 seconds until the smell hits your kitchen and you know you nailed the timing.
Pat your shrimp completely dry with paper towels before adding them to the skillet. This step feels unnecessary until you see how much faster they brown without moisture competing—I skip it when I'm rushing and always regret it within seconds. Arrange shrimp in a single layer and resist the urge to move them for 90 seconds.
Flip each shrimp individually and cook for another 60 to 90 seconds until they turn bright pink and form a slight curve—they should look like relaxed commas, not tight spirals. The moment they curl tight, they're overdone, and shrimp doesn't come back from that. Add salt, black pepper, and red pepper flakes right now, stirring to coat everything evenly.
Pour lemon juice into the skillet and let it sizzle for 15 seconds before adding the drained pasta directly into the pan with the shrimp. Toss gently for one minute so every strand gets coated with the lemon butter mixture—this is where the magic actually happens because the pasta absorbs the sauce instead of sitting on top of it.
Remove from heat and stir in fresh parsley and Parmesan cheese, tossing until the cheese melts into a thin coating. Taste one bite before serving because you might want another squeeze of lemon juice depending on your preference—that's not weakness, that's how real cooking works.