`52-[48 divide 12 xx 6 {6-(8 xx 3 - bar(6-4))}]`

Explanation

To solve the expression \( 52 - [48 \div 12 \times 6 \{6 - (8 \times 3 - (6 - 4))\}] \), we will follow the order of operations known as BODMAS/BIDMAS (Brackets, Orders (i.e., powers and square roots, etc.), Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Solve the innermost bracket:**
\[ 6 - 4 = 2 \]
Now, substitute this back into the expression:
\[ 52 - [48 \div 12 \times 6 \{6 - (8 \times 3 - 2)\}] \]

**Hint:** Start with the innermost operation to simplify the expression step by step.

2. **Calculate \(8 \times 3\):**
\[ 8 \times 3 = 24 \]
Substitute this back into the expression:
\[ 52 - [48 \div 12 \times 6 \{6 - (24 - 2)\}] \]

**Hint:** Always perform multiplication before subtraction.

3. **Now, simplify \(24 - 2\):**
\[ 24 - 2 = 22 \]
Substitute this back:
\[ 52 - [48 \div 12 \times 6 \{6 - 22\}] \]

**Hint:** Continue simplifying the expression by working with the brackets.

4. **Calculate \(6 - 22\):**
\[ 6 - 22 = -16 \]
Substitute this back:
\[ 52 - [48 \div 12 \times 6 \times (-16)] \]

**Hint:** Keep track of negative signs as they can affect the final result.

5. **Now perform the division \(48 \div 12\):**
\[ 48 \div 12 = 4 \]
Substitute this back:
\[ 52 - [4 \times 6 \times (-16)] \]

**Hint:** Division is performed before multiplication according to BODMAS.

6. **Next, calculate \(4 \times 6\):**
\[ 4 \times 6 = 24 \]
Substitute this back:
\[ 52 - [24 \times (-16)] \]

**Hint:** Always perform multiplication before moving to addition or subtraction.

7. **Now calculate \(24 \times (-16)\):**
\[ 24 \times (-16) = -384 \]
Substitute this back:
\[ 52 - (-384) \]

**Hint:** Remember that subtracting a negative number is the same as adding its positive counterpart.

8. **Now simplify \(52 - (-384)\):**
\[ 52 + 384 = 436 \]

**Final Answer:**
\[ 436 \]

### Summary of Steps:
1. Solve the innermost bracket.
2. Perform multiplication in the next bracket.
3. Continue simplifying until you reach the outermost operation.
4. Remember to handle negative signs carefully.
5. Finally, combine the results to get the answer.