Evaluate:
`[{(11-4)-(10-:2)}xx5]-6`

Answer

To evaluate the expression `[{(11-4)-(10÷2)}×5]-6`, we will follow the BODMAS/BIDMAS rule, which stands for Brackets, Orders (i.e., powers and square roots, etc.), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

Let's break down the solution step by step:

### Step 1: Solve the innermost brackets
We start with the smallest brackets first:
- Calculate \( 11 - 4 \)
- Calculate \( 10 ÷ 2 \)

**Calculation:**
- \( 11 - 4 = 7 \)
- \( 10 ÷ 2 = 5 \)

**Updated Expression:**
Now we can rewrite the expression with these results:
\[ \{(7) - (5)\} × 5 - 6 \]

### Step 2: Solve the curly brackets
Now we evaluate the expression inside the curly brackets:
- Calculate \( 7 - 5 \)

**Calculation:**
- \( 7 - 5 = 2 \)

**Updated Expression:**
Now we can rewrite the expression again:
\[ \{(2)\} × 5 - 6 \]

### Step 3: Solve the multiplication
Next, we perform the multiplication:
- Calculate \( 2 × 5 \)

**Calculation:**
- \( 2 × 5 = 10 \)

**Updated Expression:**
Now we can rewrite the expression:
\[ 10 - 6 \]

### Step 4: Solve the final subtraction
Finally, we perform the subtraction:
- Calculate \( 10 - 6 \)

**Calculation:**
- \( 10 - 6 = 4 \)

### Final Answer:
The final answer is \( 4 \).

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