Equity (or owner's equity) is the owner's share of the assets of a business (assets can be owned by the owner or owed to external parties - debts).
Capital is the owner's investment of assets in a business.
The owner can also make profits from a business that he/she runs. These profits belong to the owner (they do not belong to anyone else, right?). Therefore, profits from a business are also part of equity.
Profits are kept in accounts called reserves.
Therefore equity consists of capital plus reserves (accumulated profits).
Capital is one sub-category of equity, reserves are another.
Hope that helps clarify the difference between equity and capital.
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- Michael Celender Founder of Accounting Basics for Students