Answer :

Let's solve the given expressions step-by-step.

### First expression: [tex]\( 20 - 3 \times 6 + 8 \)[/tex]

1. Step 1 (Multiplication):
[tex]\[ 3 \times 6 = 18 \][/tex]
Replace [tex]\(3 \times 6\)[/tex] with 18:
[tex]\[ 20 - 18 + 8 \][/tex]

2. Step 2 (Subtraction):
[tex]\[ 20 - 18 = 2 \][/tex]
Replace [tex]\(20 - 18\)[/tex] with 2:
[tex]\[ 2 + 8 \][/tex]

3. Step 3 (Addition):
[tex]\[ 2 + 8 = 10 \][/tex]

So, the value of the first expression [tex]\( 20 - 3 \times 6 + 8 \)[/tex] is:
[tex]\[ 10 \][/tex]

### Second expression: [tex]\( (25 - 5) \div 5 + 8 \)[/tex]

1. Step 1 (Parentheses):
[tex]\[ 25 - 5 = 20 \][/tex]
Replace [tex]\(25 - 5\)[/tex] with 20:
[tex]\[ 20 \div 5 + 8 \][/tex]

2. Step 2 (Division):
[tex]\[ 20 \div 5 = 4.0 \][/tex]
Replace [tex]\(20 \div 5\)[/tex] with 4.0:
[tex]\[ 4.0 + 8 \][/tex]

3. Step 3 (Addition):
[tex]\[ 4.0 + 8 = 12.0 \][/tex]

So, the value of the second expression [tex]\( (25 - 5) \div 5 + 8 \)[/tex] is:
[tex]\[ 12.0 \][/tex]

### Final Results:

[tex]\[ 20 - 3 \times 6 + 8 = 10 \][/tex]
[tex]\[ (25 - 5) \div 5 + 8 = 12.0 \][/tex]

Therefore, the answers are:
[tex]\[ \boxed{10} \][/tex]
[tex]\[ \boxed{12.0} \][/tex]

---
Daniel Nyarko
J3753981