Which of the following interchanges of signs would make the given equation correct?
56 ÷ 8 − 14 × 2 + 12 = 23

The correct answer is − and +.

Let us verify this interchange step-by-step to make the given equation correct.
The original equation is:
56 ÷ 8 − 14 × 2 + 12 = 23

We need to interchange the minus sign (−) and the plus sign (+).
After swapping these two signs, the new equation becomes:
56 ÷ 8 + 14 × 2 − 12 = 23

Now, let us simplify the left-hand side (LHS) of the equation using the BODMAS rule (Brackets, Orders, Division/Multiplication, Addition/Subtraction):

Step 1: Perform Division
We divide 56 by 8:
$56÷8=7$
Now the equation is:
7 + 14 × 2 − 12

Step 2: Perform Multiplication
We multiply 14 by 2:
$14\times 2=28$
Now the equation is:
7 + 28 − 12

Step 3: Perform Addition
We add 7 and 28:
$7+28=35$
Now the equation is:
35 − 12

Step 4: Perform Subtraction
We subtract 12 from 35:
$35-12=23$

Since the LHS equals the RHS (23 = 23), the interchanging of "− and +" makes the equation correct.