Sure, let's simplify the expression step-by-step:
[tex]\[
5 - 3(x + 5) - 8x
\][/tex]
1. Start by distributing the [tex]\(-3\)[/tex] through the [tex]\((x + 5)\)[/tex]:
[tex]\[
5 - 3x - 3 \cdot 5 - 8x
\][/tex]
2. Multiply [tex]\(-3\)[/tex] by each term inside the parentheses:
[tex]\[
5 - 3x - 15 - 8x
\][/tex]
3. Combine the constant terms and the terms involving [tex]\(x\)[/tex]:
[tex]\[
(5 - 15) - (3x + 8x)
\][/tex]
4. Simplify the constant terms:
[tex]\[
-10 - (3x + 8x)
\][/tex]
5. Combine the [tex]\(x\)[/tex] terms:
[tex]\[
-10 - 11x
\][/tex]
Therefore, the simplified expression is:
[tex]\[
-11x - 10
\][/tex]
So the correct answer is:
[tex]\[
-11x - 10
\][/tex]
