When I run my dishwasher water flows into the sink. I run the disposal and it backs up more on the other side let it ride and both sides fill up and my dishwasher is not draining properly any suggestions?

It seem that you have a blockage.
Do this. Dip the water out of the sink and remove the trap. Send a snake up in 6the wall, (see image). You will hut a bend about 8 inches in but once past that you only have 6 more feet to go. After reassembling flush the linem out with a basin full of hot water. Good luck, Tom