The way I have been doing it in more detail is like so.
1. I cut out the blank sound at the beginning of the wav file for the music file so right when I hit start it would be on sync with video.
2. Playing it from the beginning with music loaded into audio track I watch the video until I see a part where the video doesn't sync with the music.
3. I move around timeline indicator or whatever until I find the part of the song that should match a certain part of the video then make a cut in that part of the audio(but I don't move around the audio at all).
4. I scrub through the video until I find the part of it that should go in sync with the cut I just made on the audio.
5. I cut the video where it starts the transistion.
6. Alt + selection tool to pull back the video to snap it to the audio cut.
7. Select the next portion of the video and just drag it over to snap to the rest of the video.
8. I repeat these steps(besides going all the way to beginning)all the way through the project.
I'm sure I am missing or doing something slightly wrong, or am atleast taking the longest route possible. I am known for doing everything the hardest way possible

. Is there a bit faster way of doing it? Am I doing anything wrong? So far I've noticed that it still doesn't look exactly right. I've had to alt + selection tool on both sides of videos a couple of times which changes the motion and messes up that part of the video. Any help would be greatly appreciated. Perhaps maybe someone can list how they do it step by step and what tools they use?