I had this problem on my Indesit 1263 about 3 years ago (My Indesit is now 10 yrs old) - it would turn OK on washing cycle but would not spin fast on high speed on the spin dry section - I fitted new motor brushes and it span again ... motor brushes are about £8-£18 depending where you go and on my Indesit were pretty easy to fit - of course unplug from mains before poking about yourself and if in doubt, seek a pro.
If you want to know how to fit brushes, please reply.
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