The slokha is
"Avasyam anubhogthavyam kritham karma subha asubham; naa bhugtham ksheeyathe karma kalpa koti sathairapi"
Is it from vedas or puranas or any other text?
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The sloka is from Brahmavaivartha Purana. It exist in Prakriti Khanda and at multiple places.
First there's verse 71 here: http://www.indianscriptures.com/Content/Articles/PDFs/30831/77f_chapter_56_2.pdf
Then there's verse 17 of this chapter: http://www.indianscriptures.com/Content/Articles/PDFs/30776/77f_chapter_67.pdf
3.Then verse 56 of this chapter: http://www.indianscriptures.com/Content/Articles/PDFs/30811/77f_chapter_89_1.pdf
Courtesy: Keshav Srinivasan