Here are the steps with the appropriate reasoning inserted:
-
Step 1: 816 + 24x = 1,200
Reasoning: Distributive Property -
Step 2: 816 - 816 + 24x = 1,200 - 816
Reasoning: Subtraction as the inverse operation to isolate the variable -
Step 3: 24x = 384
Reasoning: Combine Like Terms -
Step 4: x = 16
Reasoning: Division as the inverse operation to isolate the variable