Evaluate:
`[{(24-:4-3)xx2}+18]-:6`

Options

A. `-4`
B. `6`
C. `4`
D. `7`

Answer

To solve the expression `[{(24-:4-3)xx2}+18]-:6`, we will follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

### Step-by-Step Solution:

1. **Identify and Solve the Innermost Bracket**:
- We start with the innermost bracket: `(24 ÷ 4 - 3)`.
- First, we perform the division:
- \( 24 ÷ 4 = 6 \)
- Now, we subtract 3 from 6:
- \( 6 - 3 = 3 \)
- So, the expression now looks like: `[{3 × 2} + 18] ÷ 6`.

**Hint**: Always start with the innermost bracket and perform operations in the correct order.

2. **Multiply Inside the Curly Bracket**:
- Next, we multiply \( 3 \) by \( 2 \):
- \( 3 × 2 = 6 \)
- Now, the expression is: `[6 + 18] ÷ 6`.

**Hint**: After solving the innermost bracket, move outward to the next bracket.

3. **Add Inside the Square Bracket**:
- Now we perform the addition inside the square bracket:
- \( 6 + 18 = 24 \)
- The expression now simplifies to: `24 ÷ 6`.

**Hint**: When you have addition or subtraction, do them next after multiplication and division.

4. **Divide**:
- Finally, we divide \( 24 \) by \( 6 \):
- \( 24 ÷ 6 = 4 \)

**Hint**: Always remember to perform division and multiplication before addition and subtraction.

### Final Answer:
The final answer is **4**.