When you have (x−12)÷3×3, the operations of dividing by 3 and then multiplying by 3 are inverse operations. They cancel each other out.
Step 1: Consider the left side of the equation from Step 2:
(x−12)÷3×3
Step 2: Division by 3 can be written as multiplication by 31.
(x−12)×31×3
Step 3: Multiply 31 by 3.
31×3=33=1
Step 4: Substitute this back into the expression.
(x−12)×1
=x−12
So, the ÷3 and ×3 on the left side effectively cancel out, leaving only x−12.
That's 2 down. 3 left today — send the next one.