Answer:
[a] Addition Property of Equality
[b] Subtraction Property of Equality
[c] Division Property of Equality
Explanation:
- We're given 5x - 12 = 32 + x.
In (a), 12 was to both sides of the equation using the Addition Property of Equality:
(5x - 12 = 32 + x) + 12
5x = 44 + x
In (b), x was subtracted from both using the Subtraction Property of Equality:
(5x = 44 + x) - x
4x = 44
In (c), both sides were divided by 4 using the Division Property of Equality, showing that 11 is the value of x that satisfies the equation:
(4x = 44) / 4
x = 11