Cook pasta in a large pot of salted water that's boiled, until al dente, according to package directions. Reserve 1 cup of pasta water before draining the pasta.
12 ounces dried pasta
Meanwhile, melt butter in a large skillet over medium-high heat. Add olive oil. Once hot, add the minced garlic and sauté for 30 seconds until fragrant.
2 Tablespoons olive oil, 2 Tablespoons salted butter, 2 cloves garlic
Add cream, salt, pepper, and crushed red pepper flakes to the pan and reduce heat to medium. Bring to a simmer, then add lemon zest and juice. Simmer for 5 minutes, stirring frequently. Add Parmesan cheese and stir until all the cheese is melted.
1 cup heavy cream, ½ teaspoon kosher salt, ¼ teaspoon crushed red pepper flakes, Zest of 1 lemon, 3 Tablespoons fresh squeezed lemon juice, 1 cup freshly shredded Parmesan cheese, ¼ teaspoon freshly ground black pepper
Add cooked pasta and fresh basil leaves, tossing to coat. Add as much pasta water as you would like to get a nice silky sauce, usually between ½ and 1 cup. Cook for 1 more minute, then remove from heat. The sauce will thicken slightly as it sits.
¾ cup sliced or torn fresh basil leaves