Answer :

GinnyAnswer
Sure, let's break the problem down step-by-step.

1. First, simplify the expressions inside the brackets:
- [tex]\( 20 - 2 \)[/tex]
- [tex]\( (20 - 2) \div 2 \)[/tex]
- [tex]\( 40 - 10 \)[/tex]
- [tex]\( (40 - 10) \div 5 \)[/tex]

2. Start with the first part inside the bracket:
[tex]\[ 20 - 2 = 18 \][/tex]

3. Then divide by 2:
[tex]\[ 18 \div 2 = 9 \][/tex]

4. Next, handle the second part inside the bracket:
[tex]\[ 40 - 10 = 30 \][/tex]

5. Then divide by 5:
[tex]\[ 30 \div 5 = 6 \][/tex]

6. Now sum the results inside the brackets:
[tex]\[ 9 + 6 = 15 \][/tex]

7. Now the entire expression simplifies to:
[tex]\[ 5 + 15 - 6 \times 3 \div 2 + 5 \][/tex]

8. Handle the multiplication and division next:
[tex]\[ 6 \times 3 = 18 \][/tex]
[tex]\[ 18 \div 2 = 9 \][/tex]

9. Plug this result into the expression:
[tex]\[ 5 + 15 - 9 + 5 \][/tex]

10. Finally, perform the addition and subtraction from left to right:
- Add the first two terms:
[tex]\[ 5 + 15 = 20 \][/tex]
- Subtract the next term:
[tex]\[ 20 - 9 = 11 \][/tex]
- Add the last term:
[tex]\[ 11 + 5 = 16 \][/tex]

So the answer to the given expression is:
[tex]\[ \boxed{16} \][/tex]

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