Have a GE WSXH208HWW Spacesaver, Washing Basket is wobbling. What is the problem and can I fix it myself?

2 possible problems. On the outside of the tub front and on the top back are cement counter weights that are bolted to the tub. If they are coming loose, they would cause the tub to go off balance and wobble. If just the stainless inner tub is the one that wobbles, that suggests a bad rear drum bearing. The counter weight problem easy to fix once you get the top and back off and just need re-tightened. The back drum bearing is something even trained techs want to avoid. It requires removing the complete tub/drum assembly from the washer----then splitting the outer tub in half to replace the inner drum and bearing assembly. Cost for parts will be excessive and not worth the repair.