Question

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.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The property of equality that is used to get from Step 3 to Step 4 is addition property of equality. In Step 3, 30 is added to both sides of the equation, creating the equation 3x - 30 + 30 = 0 + 30. This simplifies to 3x = 30.