So I recently got a 2007 Mustang GT 5-Speed Manual with close to 86k miles. I bought it from a private seller, and got it to a mechanic after I purchased it (couldn’t get it to a mechanic before hand, but nothing super major wrong with the car). I’ve already replaced the serpentine belt, tensioner, front brake pads and rotors, as well as the rear shocks and a coolant flush. I’ve noticed recently that while gradually accelerating, mostly above 35-40mph, my steering wheel starts to shake. I’m not sure if it’s the suspension, or if the wheels may need to be balanced. Is there anything I could try to do to check out the usual suspects of the car before I take it to the mechanic again or an alignment shop? Any help would be greatly appreciated! 

Regards,

Elliot