The value of $3+2\times [7+(5+7)÷2]$ is equal to:

According to the BODMAS rule, operations must be performed in the order of Brackets, Of, Division, Multiplication, Addition, and Subtraction.
Given expression:

$$3+2\times [7+(5+7)÷2]$$

Step 1: Solve the small parenthesis ()

$$(5+7)=12$$

The expression becomes:

$$3+2\times [7+12÷2]$$

Step 2: Solve the division inside the square bracket []

$$12÷2=6$$

The expression becomes:

$$3+2\times [7+6]$$

Step 3: Solve the addition inside the square bracket []

$$[7+6]=13$$

The expression becomes:

$$3+2\times 13$$

Step 4: Perform multiplication

$$2\times 13=26$$

The expression becomes:

$$3+26$$

Step 5: Perform addition

$$3+26=29$$