Certainly! Let's break the problem down step-by-step in order to solve the expression [tex]\(5 + 3(-6 + 10)\)[/tex].
1. Evaluate the expression inside the parentheses:
[tex]\[
-6 + 10 = 4
\][/tex]
2. Multiply the result of the inner expression by 3:
[tex]\[
3 \times 4 = 12
\][/tex]
3. Add 5 to the result of the multiplication:
[tex]\[
5 + 12 = 17
\][/tex]
So, the final answer to the expression [tex]\(5 + 3(-6 + 10)\)[/tex] is:
[tex]\[
\boxed{17}
\][/tex]