Hi smp22,
Your GX uses an Achermann style steering system. LH/RH spindle coordination is controlled by a straight tie rod. The
system is turned by a frame mounted cylinder pushing the steering arm forward/rearward (#23).
View attachment 880673
So just normal steering imparts the same fwd/rev force into the axle pivot. The axle has outrigger pads on the front side that rub against the frame saddle supporting this action. From your description, the axle pivot has become worn/sloppy allowing front/back twisting movement. As the axle 'floats' it is not responsive to your steering inputs. Result: you can't keep it steering straight!
Test: with the tractor running and park brake ON. Have someone turn the steering wheel left then right. Observe the front axle on the left side of the machine. Do you see the axle move forward/backward much
before seeing the front wheels turn? If so, this is the problem.
As mentioned above, the steering is pretty robust and this usually doesn't happen on low hour machines like yours. There is one circumstance that causes it though: a bent axle. It can happen when the steering is at full lock (when it is most vulnerable) and the front wheel strikes something hard. The axle is nodular iron; it
can be bent! If this happens, the support pad (on either side of the machine) is bent
away from the frame saddle... it now has no outrigger support and wear is accelerated. Inspect both axle support pads and see if it is contacting the frame saddle. If there is a gap, the axle is bent back. Report back and we can offer direction to get you going. Lots to digest here... sorry.