Bring a large pot of salted water to a boil.
Meanwhile, in a large skillet, heat oil over medium-high. Add garlic and red-pepper flakes; cook until garlic is fragrant and beginning to brown, about 1 minute. Add tomatoes with juice, tomato sauce, and wine. Simmer over medium, stirring occasionally, until slightly thickened, 8 to 10 minutes.
Cook pasta in boiling salted water 2 minutes less than package instructions for al dente. Drain; add pasta to skillet. Cook, stirring, until pasta is tender, about 2 minutes. Season with salt. Serve, if desired, with Parmesan and red-pepper flakes.