Let's solve this arithmetic expression step-by-step.
Expression:
[tex]\[ 3 \times 2 - 5 + 4 \times 3 - 3 + 5 \times 2 \][/tex]
1. First, perform all multiplications:
[tex]\[
3 \times 2 = 6
\][/tex]
[tex]\[
4 \times 3 = 12
\][/tex]
[tex]\[
5 \times 2 = 10
\][/tex]
2. Now, substitute these values back into the expression:
[tex]\[
6 - 5 + 12 - 3 + 10
\][/tex]
3. Then, perform the additions and subtractions from left to right:
Step 1:
[tex]\[
6 - 5 = 1
\][/tex]
Step 2:
[tex]\[
1 + 12 = 13
\][/tex]
Step 3:
[tex]\[
13 - 3 = 10
\][/tex]
Step 4:
[tex]\[
10 + 10 = 20
\][/tex]
So, the final result of the expression
[tex]\[
3 \times 2 - 5 + 4 \times 3 - 3 + 5 \times 2
\][/tex]
is [tex]\( \boxed{20} \)[/tex].