Which algebraic expression is equivalent to this expression?

3(2x − 8) – 11x

A.
-17x – 8

B.
-5x – 8

C.
-17x – 24

D.
-5x – 24

To simplify the expression \( 3(2x - 8) - 11x \), follow these steps:

1. **Distribute the 3**:
   \[
   3 \times 2x - 3 \times 8 = 6x - 24
   \]

2. **Subtract 11x from the result**:
   \[
   6x - 24 - 11x
   \]

3. **Combine like terms** (\(6x - 11x\)):
   \[
   -5x - 24
   \]

So, the simplified expression is \( -5x - 24 \).

The correct answer is:

**D. -5x - 24**

Would you like details or have any questions about this? 

Here are some related questions:
1. How do you distribute a number across terms in parentheses?
2. What are like terms in an algebraic expression?
3. How do you simplify algebraic expressions with multiple variables?
4. What steps are involved in solving linear equations?
5. Can you explain how to factor algebraic expressions?

**Tip:** Always check your final expression by substituting a simple value for the variable to verify your result.

Learn how to simplify the algebraic expression 3(2x − 8) − 11x step-by-step. This problem covers algebraic concepts such as the distributive property and combining like terms. Suitable for students in Grades 7-9.

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