Consider the sequence of steps to solve the equation:

Question

5(x - 3) =




Step 1 ⇒ 10(x - 3) = 7x
Step 2 ⇒ 10x - 30 = 7x
Step 3 ⇒ 3x - 30 = 0
Step 4 ⇒ 3x = 30
Step 5 ⇒ x = 10

Identify the property of equality which gets us from Step 3 to Step 4.
Responses
A Division PropertyDivision Property
B Addition PropertyAddition Property
C Subtraction PropertySubtraction Property
D Multiplication Property

Answer 1

The property of equality that gets us from Step 3 to Step 4 is the Addition Property.

In Step 3, you have the equation:

\[ 3x - 30 = 0 \]

To isolate \(3x\), you add 30 to both sides of the equation:

\[ 3x - 30 + 30 = 0 + 30 \]

This simplifies to:

\[ 3x = 30 \]

Therefore, the correct answer is B: Addition Property.