The value of $29-\left[\right(48÷12)+2\times (8÷4+4\left)\right]is\; equal\; to:$

The correct answer is 13.

Step-by-step solution:

We need to evaluate the given expression following the BODMAS / PEMDAS rule (Brackets, Orders, Division/Multiplication, Addition/Subtraction):

$29-\left[\right(48÷12)+2\times (8÷4+4\left)\right]$

Step 1: Simplify expressions inside the innermost round brackets.

First round bracket:
$48÷12=4$

Second round bracket (perform division first, then addition):
$8÷4+4=2+4=6$

Step 2: Substitute these values back inside the square brackets.

$[4+2\times 6]$

Step 3: Perform multiplication inside the square brackets before addition.

$2\times 6=12$

Now add the terms inside the square brackets:

$4+12=16$

Step 4: Subtract the total bracket result from 29.

$29-16=13$

Thus, the final result is 13.