If the stud is behind any part of the TV it's really easy, but that's not necessary. I make all of my TV mounts, and some for friends and customers. The key is to fashion a bracket that puts all of the load in "shear" and none in "tension", that is, the weight goes down the wall, not partially away from the wall. It's a cleaner installation, too. Here's how you do it.
Measure the actual width of the TV. GO to your local sheet metal shop and tell them that you want a "flat J-bracket" with 4 inches down the wall, turned straight back up 1 inch, and loosely flattened (we call it a "loose hem") to hold a corresponding bracket you will attach to the back of the TV. It should be made of .063 aluminum. It will be about three feet long. They can put a series of 4 or 5 holes along the top of the 4 inch leg to accommodate 50-pound screw-in drywall anchors. That should let you hold up to 200 lb. and I think your TV weighs about 60.
Carefully measure the height you'll need and install the anchors, then use the included screws screws to fasten the bracket to the wall.
Try to hit the stud with a regular screw through one of the holes.
Now, attach the other bracket to the back of the TV using the 4 or 6 mm machine threaded holes that every bracket uses.
You'll have a wide hook on the wall turned up, and a wide hook on the TV turned down. Plug in your cables then hook one into the other.
You'll spend about $50 at the shop and 10 bucks or so for the drywall hangers. Cheap, clean, and closer to the wall than a purchased bracket.