Let's simplify the expression \( \frac{2x - 24}{8} \).
Step 1: Factor the numerator
The numerator \( 2x - 24 \) can be factored: \[ 2x - 24 = 2(x - 12) \]
Step 2: Substitute the factored form into the expression
Now substituting the factored form into the expression gives: \[ \frac{2(x - 12)}{8} \]
Step 3: Simplify the fraction
Now, we can simplify the fraction: \[ \frac{2(x - 12)}{8} = \frac{1}{4}(x - 12) \]
Step 4: This gives us the final answer
So we can write it as: \[ \frac{x - 12}{4} \]
Thus, the simplified form of \( \frac{2x - 24}{8} \) is: \[ \frac{x - 12}{4} \]
From your provided options, the correct answer is: \[ \frac{x - 12}{4} \]