The line l: (1,2,3)+t(3,4,5) is reflected in the plane P: 2x-2y-z+11=0

Is there any fast way of doing this? I alway first found the mirror point of (1,2,3) in P and then connected this point with the point of intersection of l and P. This is quite an easy way but unfortunately takes quite a time, it'd be grateful if somebody knew an easier way to do that!