The Fundamental Accounting Equation
Assets = Capital + Liabilities — every transaction preserves this balance.
The accounting equation expresses the relationship between everything a business owns (assets) and the two sources of funding for those assets — the owner's own investment (capital) and money borrowed from others (liabilities).
It can be rearranged to find any missing element:
Why is the equation always balanced? Because of the dual aspect concept: every transaction has two effects of equal value. When a business acquires an asset, it must either spend cash (reduce another asset), borrow money (create a liability), or the owner must invest more capital. There is no way to gain something without a corresponding change somewhere else.
Example 1: Owner invests $20,000 cash into the business.
- Assets ↑ Cash +$20,000
- Capital ↑ +$20,000
- Equation: Assets ($20,000) = Capital ($20,000) + Liabilities ($0) ✓
Example 2: Business buys equipment on credit for $5,000.
- Assets ↑ Equipment +$5,000
- Liabilities ↑ Trade payables +$5,000
- Equation: Assets ($25,000) = Capital ($20,000) + Liabilities ($5,000) ✓
Example 3: Business pays $3,000 cash to a supplier.
- Assets ↓ Cash −$3,000
- Liabilities ↓ Trade payables −$3,000
- Equation: Assets ($22,000) = Capital ($20,000) + Liabilities ($2,000) ✓
- Assets = Capital + Liabilities — must hold after every transaction
- Dual aspect: every transaction has two equal and opposite effects
- Rearrange to find Capital = Assets − Liabilities
- Rearrange to find Liabilities = Assets − Capital