Solve : `12-[26-{2+5xx(6-3)}]`

A. 2

B. 3

C. 7

D. 8

Options

A. B
B. C
C. A
D. D

Answer

To solve the expression \( 12 - [26 - \{2 + 5 \times (6 - 3)\}] \), we will follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).

### Step 1: Solve the innermost parentheses
First, we need to solve \( (6 - 3) \):
\[ 6 - 3 = 3 \]
Now, substitute this back into the expression:
\[ 12 - [26 - \{2 + 5 \times 3\}] \]

### Step 2: Solve the multiplication
Next, we calculate \( 5 \times 3 \):
\[ 5 \times 3 = 15 \]
Now, substitute this back into the expression:
\[ 12 - [26 - \{2 + 15\}] \]

### Step 3: Solve the addition
Now, we solve \( 2 + 15 \):
\[ 2 + 15 = 17 \]
Substituting this back gives us:
\[ 12 - [26 - 17] \]

### Step 4: Solve the subtraction inside the brackets
Now, calculate \( 26 - 17 \):
\[ 26 - 17 = 9 \]
Substituting this back gives us:
\[ 12 - 9 \]

### Step 5: Final subtraction
Finally, we calculate \( 12 - 9 \):
\[ 12 - 9 = 3 \]

Thus, the final answer is:
\[ \boxed{3} \]