My brakes come on front and back or side to side. Going 50 mph

Hello, Dave here, contributing to RepairPal and providing expert advice since 2010. Congratulations on your vehicle that has over 300,000 miles accrued on it! That is a testament to your efforts making sure that your vehicle is well-maintained and taken care of. I don't really have any great ideas as to what is happening to your vehicle randomly while driving down the highway. Since the problem stops when hitting the brakes, and since the problem seems to illuminate some sort of warning indications, it would lead me to believe that there may be a false activation of the anti-lock brake system which also acts as traction control and vehicle stability control for the vehicle. There is a momentary signal loss from one of the sensors at one of the wheels, it could lead the vehicle to believe that the vehicle is out of control and start some actions that you don't expect. Now this is just a guess, but it's reasonable based off of what you're saying. I would definitely want you to see a shop near you to have this evaluated. I would bet on a wheel sensor or sensor tone ring issue. https://repairpal.com/auto-repair-near-me Click the link or call us at 877-913-1554. We'll gladly find you a certified RepairPal shop in your area.