Final answer:
To simplify the expression (2x - 24) / 8, divide each term by 8 to get (1/4)x - 3 as the simplified form.
Step-by-step explanation:
The question involves simplifying the algebraic expression 2x - 24 over 8. To simplify this expression, we can reduce it step by step as follows:
- Start with the given expression: (2x - 24) / 8.
- Observe that both terms in the numerator are divisible by 8: 2x is divisible by 8 when x is an integer, and 24 is also divisible by 8.
- Divide each term separately by 8: 2x/8 - 24/8.
- Simplify each term: (2/8)x - (24/8).
- 2 divided by 8 reduces to 1/4, and 24 divided by 8 reduces to 3.
- The simplified expression is (1/4)x - 3.
Therefore, the simplified form of the given expression is (1/4)x - 3.