Calculate the value of $ 2 \times (3 + 4x) - 5 $ when $ x = 2 $.

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Study for the Accuplacer Advanced Algebra and Functions Test. Use flashcards and multiple choice questions, each question offers hints and explanations. Ace your exam preparation!

Multiple Choice

To find the value of ( 2 \times (3 + 4x) - 5 ) when ( x = 2 ), start by substituting ( x ) with 2 in the equation. This gives you:

[

2 \times (3 + 4 \times 2) - 5

]

Next, calculate ( 4 \times 2 ) which equals 8. Substitute this value back into the equation:

[

2 \times (3 + 8) - 5

]

Now, simplify the expression inside the parentheses:

[

3 + 8 = 11

]

This leads to:

[

2 \times 11 - 5

]

Multiply 2 by 11:

[

22 - 5

]

Finally, subtract 5 from 22:

[

22 - 5 = 17

]

Thus, the value of ( 2 \times (3 + 4x) - 5 ) when ( x = 2 ) is 17, confirming the correctness of the provided solution.