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

Subtraction Property

10x - 30 = 7x

Subtract 7x from both sides.

3x - 30 = 0

Answer 2

Addition Property of Equality