QuestionWhich algebraic expression equals $3(2 x-8)-11 x$ ? A. $-5 x-24$ B. $-17 x-24$ C. $-5 x-8$ D. $-17 x+24$

Studdy Solution

STEP 1

Assumptions1. We are given the algebraic expression $3(x-8)-11x$ . . We need to simplify this expression and match it with one of the given options.

STEP 2

First, we need to distribute the multiplication across the terms inside the parentheses.
$(2x-8)-11x = \cdot2x - \cdot8 -11x$

STEP 3

Now, calculate the multiplication.
$3 \cdot2x -3 \cdot8 -11x =6x -24 -11x$

STEP 4

Next, we combine like terms.
$6x -24 -11x = (6x -11x) -24$

STEP 5

Calculate the subtraction.
$(x -11x) -24 = -5x -24$ So, the algebraic expression $3(2x-8)-11x$ simplifies to $-5x -24$ .
Comparing this with the given options, we see that it matches with option A.
So, the correct answer is A $-5x -24$ .

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