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].
