Question

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

Answer 1

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 2

Step 1: Distribute the 3 to the terms inside the parentheses.
3x - 12 + 5x = 9x - 36

Step 2: Combine like terms on the left side of the equation.
8x - 12 = 9x - 36

Step 3: Subtract 8x from both sides to isolate the x term on the right side.
-12 = x - 36

Step 4: Add 36 to both sides to isolate the x term on the left side.
24 = x

So the solution to the equation is x = 24.

Answer 3

C. Addition Property of Equality