What is 3(4x - 8) in simpflied form?

Question 1 options:

7x - 11

12x - 8

12x - 24

12x + 24

To simplify the expression \( 3(4x - 8) \), follow these steps:

1. Distribute the 3 to both terms inside the parentheses:
   \[
   3 \cdot 4x = 12x \quad \text{and} \quad 3 \cdot (-8) = -24
   \]
2. The simplified expression is:
   \[
   12x - 24
   \]

So, the correct answer is:

**12x - 24**

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Would you like more details on the distribution process or have any other questions?

Here are some related questions to expand on this:

1. How do you simplify \( 5(2x + 3) \)?
2. What is the result of distributing a negative number, like \( -2(3x - 4) \)?
3. Can you apply the distributive property to \( 4(x + 5) + 3(2x - 1) \)?
4. What happens when you distribute a fraction, like \( \frac{1}{2}(6x - 8) \)?
5. How do you combine like terms after distribution?

**Tip**: Always distribute the number outside the parentheses to **every term** inside the parentheses when simplifying expressions.

Learn how to simplify the algebraic expression 3(4x - 8) using the distributive property. This step-by-step explanation covers key algebraic concepts suitable for students in Grades 6-8.

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