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

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.