Answer :

To evaluate the expression [tex]\( 4(x - 3) + 5x - x^2 \)[/tex] for [tex]\( x = 2 \)[/tex], we need to substitute [tex]\( x \)[/tex] with 2 in the given expression and simplify step by step.

1. Substitute [tex]\( x = 2 \)[/tex] into the expression:
[tex]\[ 4(2 - 3) + 5(2) - 2^2 \][/tex]

2. Simplify each term inside the expression:
[tex]\[ 4(2 - 3) = 4(-1) = -4 \][/tex]
[tex]\[ 5(2) = 10 \][/tex]
[tex]\[ 2^2 = 4 \][/tex]

3. Combine all the simplified terms:
[tex]\[ -4 + 10 - 4 \][/tex]

4. Perform the addition and subtraction in sequence:
[tex]\[ -4 + 10 = 6 \][/tex]
[tex]\[ 6 - 4 = 2 \][/tex]

Therefore, the value of the expression [tex]\( 4(x - 3) + 5x - x^2 \)[/tex] when [tex]\( x = 2 \)[/tex] is [tex]\( 2 \)[/tex].

Hence, the correct answer is [tex]\(\boxed{2}\)[/tex].