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
1 answer
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.
