I did that ball joint on the right side on my 2003 X5. I ended up applying heat with the MAP gas torch in one spot to the carrier, got it hot and then was able to break ball joint loose. I used air chisel from the top to drive it out. Try it. Heat really helps. Don’t worry about heating the carrier with the torch – it is cast iron. Just be careful not to burn CV boot and not to overheat other components. put torch flame on the carrier in one spot, directly outside where ball joint seats. Please use common sense working with the open flame.

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2012 X5 x35i My new toy
2005 X5 4.4 Her's (Retrofitted Servotronic Steering Rack)
2003 X5 3.0 Mine (Retrofitted Servotronic Steering Rack and Heated Steering Wheel)
2001 M5 Son's car
2000 540i 6sp Sports pkg, supercharged. Son's car (Sold)
2001 530i (Sold)
1999 528i (Sold)
1975 2002 (Sold)