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Definition: Expanded Accounting Equation

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Definition of Expanded Accounting Equation

What is the Expanded Accounting Equation?

The Expanded Accounting Equation is the Accounting Equation with more detail. The Expanded Accounting Equation generally shows Equity equaling Contributions minus Withdrawals plus Income minus Expenses. In order to understand the Expanded Accounting Equation, you need to understand the simple form of the Accounting Equation.

The Expanded Accounting Equation and the Accounting Equation summarizes the relationship of property and ownership, such that the total amount of property in a business equals the total amount of ownership of the property. A simple form of the Accounting Equation is Property = Ownership. Since property can be owned by owners and lenders, the Accounting Equation can be written as Property = Third-Party Ownership + Owner Ownership. The following figure summarizes the Accounting Equation:
Image of property equals third-party ownership plus owner ownership
Relationship of Property and Ownership
Here is an example of using the Accounting Equation. Let's say a business has $10,000 of cash property, where $4,000 of the cash was obtained from a loan and $6,000 is owned by the owners of the business. The Accounting Equation would calculate this as:

Accounting Equation
Property = Third-Party + Owner
$10,000 = $4,000 + $6,000
$10,000 = $10,000 (balanced)

In formal accounting terms, the Accounting Equation uses Assets as property, Liabilities as third-party ownership and Equity as owner ownership. This gives us the formal version of the Accounting Equation:
Image of Accounting Equation where assets equals liabilities plus equity
Same Relationship using Accounting Terms
If we use the same example of the Accounting Equation above, we get:

Accounting Equation
Assets = Liabilities + Equity
$10,000 = $4,000 + $6,000
$10,000 = $10,000 (balanced)​

The Expanded Accounting Equation gives us more detail about the Equity portion of ownership. Equity is equal to what an owner invests into their company, minus what the owner takes out, plus any profit they make. Profit is equal to income minus expenses. Let's say that the owner in the preceding example invested $1,500 cash into their business and withdrew $500. Let's also say the business made a profit of $5,000, $10,000 of income and $5,000 of expenses. The Expanded Accounting Equation would show this as:

Expanded Accounting Equation
Assets = Liabilities + 
Contributions - Withdrawals + Income - Expenses
$10,000 = $4,000 + $1,500 - $500 + $10,000 - $5,000
$10,000 = $4,000 + $6,000

$10,000 = $10,000 (balanced)​

The formal version of the Expanded Accounting Equation and the Accounting Equation use account balances to calculate a value for Assets, Contributions, Withdrawals, Income and Expenses. The following figure shows the Expanded Accounting Equation - "d" means "debit", "c" means "credit", "+" means an increase and "-" means a decrease.
Image of Expanded Accounting Equation
Expanded Accounting Equation
The term "debit" refers to the act of "receiving" and the term "credit" refers to the act of "giving".

If you want to understand the meanings of debit and credit, check out the definition of debit and credit.

The Expanded Accounting Equation & The Balance Sheet

The Expanded Accounting Equation is used to create a business's Balance Sheet statement. The Balance Sheet statement details a business's assets and liabilities, but does not detail any equity because equity is shown using the business's Profit/Income statement and Owner Equity statement. It is called a Balance Sheet statement because it uses the Expanded Accounting Equation to calculate the equality between property and ownership. These two values must balance (equal) one another or a mistake would have been made. In the Expanded Accounting Equation, every cent of property and ownership must be accounted for and must equal one another.

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