Sure, let's simplify the expression step-by-step:
Given expression:
[tex]\[
-3 + 10 - 8(5 - 2)
\][/tex]
Step 1: Simplify the expression inside the parentheses:
[tex]\[
5 - 2 = 3
\][/tex]
So the expression now becomes:
[tex]\[
-3 + 10 - 8 \cdot 3
\][/tex]
Step 2: Perform the multiplication:
[tex]\[
8 \cdot 3 = 24
\][/tex]
So the expression now becomes:
[tex]\[
-3 + 10 - 24
\][/tex]
Step 3: Simplify the expression from left to right:
First, add [tex]\( -3 \)[/tex] and [tex]\( 10 \)[/tex]:
[tex]\[
-3 + 10 = 7
\][/tex]
So the expression now becomes:
[tex]\[
7 - 24
\][/tex]
Next, subtract [tex]\( 24 \)[/tex] from [tex]\( 7 \)[/tex]:
[tex]\[
7 - 24 = -17
\][/tex]
Therefore, the simplified expression is:
[tex]\[
-17
\][/tex]
Thus, the final result is:
[tex]\[
\boxed{-17}
\][/tex]
