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Question
Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36

Given ⇒ 3(x − 4) + 5x = 9x − 36
Step 1 ⇒ 3x − 12 + 5x = 9x − 36
Step 2 ⇒ 3x + 5x − 12 = 9x − 36
Step 3 ⇒ 8x − 12 = 9x − 36
Step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36
Step 5 ⇒ 0 − 12 = x − 36
Step 6 ⇒ −12 = x − 36
Step 7 ⇒ −12 + 36 = x − 36 + 36
Step 8 ⇒ 24 = x + 0
Step 9 ⇒ 24 = x

Which property yields Step 4?
Responses
A Subtraction Property of EqualitySubtraction Property of Equality
B Commutative Property of AdditionCommutative Property of Addition
C Addition Property of EqualityAddition Property of Equality
D Additive Inverse Property

Answer 1

In Step 4, the operation being performed is subtracting \( 8x \) from both sides of the equation. This is an application of the **Subtraction Property of Equality**, which states that if you subtract the same amount from both sides of an equation, the equality remains balanced.

Therefore, the correct response is:
**A Subtraction Property of Equality**.