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

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

• A. 15
• B. 17
• C. 19
• D. 20

Answer: (B)

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.

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.