Solve :
`[7+2{(7-2+4)-:3}]-3`

Answer

To solve the expression `[7 + 2{(7 - 2 + 4) -: 3}] - 3`, we will follow the order of operations, often remembered by the acronym BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

Let's break it down step by step:

### Step 1: Solve the innermost bracket
First, we need to solve the expression inside the small bracket `(7 - 2 + 4)`.

\[ 7 - 2 + 4 = 5 + 4 = 9 \]

### Step 2: Substitute back into the expression
Now, we substitute this result back into the expression:

\[ [7 + 2{(9)} -: 3}] - 3 \]

### Step 3: Solve the curly bracket
Next, we need to divide the result by 3. This gives us:

\[ 2 \times \frac{9}{3} \]

Calculating \( \frac{9}{3} \):

\[ \frac{9}{3} = 3 \]

Now substituting back:

\[ [7 + 2 \times 3] - 3 \]

### Step 4: Multiply
Now we multiply:

\[ 2 \times 3 = 6 \]

So now the expression is:

\[ [7 + 6] - 3 \]

### Step 5: Solve the square bracket
Now we solve inside the square bracket:

\[ 7 + 6 = 13 \]

So now we have:

\[ 13 - 3 \]

### Step 6: Final subtraction
Finally, we subtract:

\[ 13 - 3 = 10 \]

Thus, the final answer is:

\[ \boxed{10} \]

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