To determine which algebraic expression is equivalent to the given expression [tex]\( 3(2x - 8) - 11x \)[/tex], let's simplify it step by step.
1. Distribute the 3 across the terms inside the parentheses:
[tex]\[
3(2x - 8) = 3 \cdot 2x - 3 \cdot 8 = 6x - 24
\][/tex]
2. Combine this result with the remaining part of the original expression:
[tex]\[
(6x - 24) - 11x
\][/tex]
3. Combine the [tex]\(x\)[/tex]-terms:
[tex]\[
6x - 11x = -5x
\][/tex]
4. Combine the constant terms:
[tex]\[
-5x - 24
\][/tex]
Therefore, the simplified expression is:
[tex]\[
-5x - 24
\][/tex]
So, the algebraic expression equivalent to [tex]\( 3(2x - 8) - 11x \)[/tex] is:
[tex]\[
\boxed{-5x - 24}
\][/tex]
This matches with option A.
