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?
Subtraction Property of Equality
Commutative Property of Addition
Addition Property of Equality
Additive Inverse Property
Addition Property of Equality
Step 4 is obtained using the Additive Inverse Property.
The property that yields Step 4 is the Addition Property of Equality.
To explain how to get to Step 4 from Step 3, we need to isolate the variable x on one side of the equation.
Step 3: 8x - 12 = 9x - 36
To eliminate the term 9x on the right side, we can subtract 8x from both sides of the equation using the Addition Property of Equality.
Step 4: 8x - 8x - 12 = 9x - 8x - 36
By subtracting 8x from both sides, the term 9x on the right side is canceled out, leaving us with -12 on the left side of the equation.
Therefore, the property that yields Step 4 is the Addition Property of Equality.