In a large pot of boiling salted water, cook the linguine according to package instructions until al dente. Reserve 1 cup of pasta water, then drain the linguine and set aside.
In a large skillet over medium heat, melt the butter and olive oil together.
Add the minced garlic to the skillet and sauté for about 1-2 minutes until fragrant, being careful not to let it brown.
Add the shrimp to the skillet, season with salt, pepper, and red pepper flakes. Cook for 3-4 minutes or until the shrimp turn pink and opaque, stirring occasionally.
Stir in the lemon zest and lemon juice, mixing well to coat the shrimp.
Add the cooked linguine to the skillet, tossing to combine with the shrimp and sauce. If the pasta seems dry, add a little reserved pasta water until you reach your desired consistency.
Stir in the chopped parsley and adjust seasoning to taste. Plate the linguine and shrimp, garnishing with lemon wedges on the side.
Notes
Adjust red pepper flakes to taste for desired spiciness.