Earlier, England's Moeen Ali's 4/46 and Sam Curran's 2/44 wrapped up the visitors on a meagre 205 in 34.4 overs.
Brief scores: England 208/9 (Jos Buttler 110 not out, Alex Hales 20; Alex Hales 3/35) beat Australia 205 (Travis Head 56, D Arcy Short 47; Moeen Ali 4/46).