After President Hamid Karzai secretly pardoned the 24-year-old student, hardliners called for an urgent ulama, a meeting of Islamic scholars, to organise protests against the decision.
Mr Kambaksh's brother, Sayed Yaqub Ibrahimi, said he was "very glad, very happy" at what had happened, and human rights organisations and a number of liberal parliamentarians welcomed the news.
The fate of Mr Kambaksh became a cause célèbre after his plight was revealed by The Independent. A petition to secure justice secured more than 100,000 signatures and the Afghan government came under pressure from Western leaders to free him.
Mr Kambaksh's original death sentence was set aside by Afghanistan's Supreme Court. But the judges ruled that he must serve at least 20 years in prison. Following the presidential amnesty he is now starting a life with a new identity in another country after 20 months of incarceration.
Mr Ibrahimi said: "We are all very happy that so much progress has been made with Pervez and I want to thank all the people who have helped in this. I have to be careful about what I say but, of course, Pervez should never have been put in that position, it was wrong. The family is very glad he is out."
Source: The Independent