Consider the sequence of steps to solve the equation:

5(x - 3) = 7x/2




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, resulting in:

\[ 3x = 30 \]

So the correct response is:

B Addition Property

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