Alzarri Joseph and Shannon Gabriel shared four wickets in the final hour to peg back England.
The captain took four wickets before England closed the day on 15 without loss.
Brathwaite converted his overnight 20 into the first-half century of the match from 113 balls.
The tourists had five wickets intact at tea.
Broad missed out on selection as England went with James Anderson, Jofra Archer and Mark Wood for the first Test.
Holder claimed career-best figures of six for 42 to put Ben Stokes’ side under pressure.
The hosts had resumed on 35 for one after a rain-ruined start to the series.
Ben Stokes’ 43 was the best his team could muster in response but even that required two drops in the outfield.
Hussain says one of the chief reasons for the enmity stemmed from Ganguly making him wait at the toss.
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