Choosing to bowl first, Australia got their first breakthrough on the 10th ball of the match as England opener Jason Roy was caught by Andrew Tye at extra cover off the bowling of Kane Richardson for nine runs. But then Dawid Malan and Alex Hales attacked the bowlers and posted 60 runs in the powerplay overs.
Hales and captain Morgan both departed for a quickfire 22, but it was Middlesex man Malan who stole the show in the opening overs. With 17 required from the final 18 balls, Maxwell took 14 off the 18th over to leave him on 97 in the 19th, with one run needed.
Adil Rashid and Tom Curran quickly followed as England slipped to 137-9 from 96-2.
David Willey took two wickets with the first four balls of Australia's reply but Maxwell and Darcy Short added 78 for the third wicket and it was all over.
England bowler David Willey removed David Warner, Chris Lynn and Travis Head cheaply to make a game of it but the hosts held on for a five-wicket success. The pair seemed capable of driving Australia all the way to their target, but Rashid intervened with an exceptional, one-handed return catch to intercept a Short drive drilled straight back at the leg spinner.
Maxwell first combined with fellow spinner Ashton Agar (2-15) to halt the rapid start England made to its innings and to set in motion a collapse which saw England lose 7-43 in the second half of its innings to finish its 20 overs at 155-9.
It was all down to Chris Jordan and Mark Wood to push England to a semi-competitive total, as they put on 18 for the final wicket, with the Surrey all-rounder blasting the final ball of the innings for a very big six, as England posted 155-9.
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Rome also issued a 24-hour ban on demonstrations. " No to Turkey in Europe", Brothers of Italy President Giorgia Meloni said. The Turkish leader is also scheduled to pay a visit to Rome to meet with Italian President Sergio Mattarella.
As with England, Australia started to find runs hard to come by midway through their innings.
Glenn Maxwell of Australia celebrates his century after hitting a six. However, the wicket England desperately wanted was that of Maxwell as he cruised past 50 with his score only threatened when Hales dropped him on 40.
Glenn Maxwell starred with the ball and then benefited from both a drop and a contentious umpiring decision to lead Australia's successful run chase with a century in a five-wicket Twenty20 worldwide victory over England on Wednesday.
Yet England thought they had created the breakthrough in the 13th over.
It was with the ball that Maxwell first changed the course of the match, turning it in the home team's favor.
He handed the strike back to Maxwell, and the star of the late part of the summer delivered again with a six and a ton, as Australia completed a comfortable five-wicket victory over the tourists in Hobart.