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Which algebraic expression is equivalent to this expression?

[tex]\[ 3(2x - 8) - 11x \][/tex]

A. [tex]\(-5x - 8\)[/tex]
B. [tex]\(-5x - 24\)[/tex]
C. [tex]\(-17x + 24\)[/tex]
D. [tex]\(-17x - 24\)[/tex]

Sagot :

GinnyAnswer
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 within the parentheses:
[tex]\[ 3(2x - 8) - 11x \][/tex]
[tex]\[ 3 \cdot 2x + 3 \cdot (-8) - 11x \][/tex]
[tex]\[ 6x - 24 - 11x \][/tex]

2. Combine like terms:
- Combine the [tex]\(6x\)[/tex] and [tex]\( -11x\)[/tex].
[tex]\[ 6x - 11x - 24 \][/tex]
[tex]\[ (6 - 11)x - 24 \][/tex]
[tex]\[ -5x - 24 \][/tex]

The simplified expression is [tex]\(-5x - 24\)[/tex].

From the given options, the equivalent expression is:

A. [tex]\(-5x - 8\)[/tex]

B. [tex]\(-5x - 24\)[/tex]

C. [tex]\(-17x + 24\)[/tex]

D. [tex]\(-17x - 24\)[/tex]

Reviewing the options, the correct one is:

B. [tex]\(-5x - 24\)[/tex]
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