In a large pot of boiling salted water, cook the linguine according to package instructions until al dente. Reserve 1/2 cup of pasta water, then drain and set aside.
In a large skillet over medium heat, add the olive oil and butter. Once melted, add the minced garlic and red pepper flakes, sautéing for about 1 minute until fragrant.
Add the shrimp to the skillet in a single layer. Cook for 2-3 minutes on one side until they start to turn pink, then flip and cook for an additional 2-3 minutes until fully cooked. Season with salt and black pepper.
Pour in the chicken broth and lemon juice, then stir well. Let it simmer for about 2 minutes to combine the flavors.
Add the cooked linguine to the skillet. Toss everything together, adding reserved pasta water a little at a time until the desired sauciness is achieved.
Remove from heat and stir in the chopped parsley. Adjust seasoning with more salt and pepper if needed.
Serve immediately, garnishing with lemon wedges on the side.
Notes
Adjust red pepper flakes to taste for desired spiciness.