To all intents and purposes, share trading and equity trading mean the same thing. Both refer to
a unit of ownership in a company. But there are slight technical differences to be aware of.
First, a 'share' is a single unit of ownership. 'Equity', however, is the total stake you
hold in a company i.e., more than one share. You might have three shares – which is your total
equity.
The second difference refers to the meaning of 'shares' and 'equities'. More often than
not, you hold 'shares' in a single company. But you could use 'equities' to describe the total
amount you own in two or more companies.
So, when it comes to equity trading, you're buying and selling your total stakes in a
company.