Question

Identify the property of equality which yields step 5.

x - 33  = x + 3



Step 1 ⇒ x - 3 = 3(x + 3)
Step 2 ⇒ x - 3 = 3x + 9
Step 3 ⇒ x = 3x + 12
Step 4 ⇒ -2x = 12
Step 5 ⇒ x = -6

Answer 1

-2x = 12.......divide both sides by -2
x = -6

division property of equality

Answer 2

Division property of equality.

Explanation:

Here, the given equation,

x - 33 = x + 3,

Step 1 ⇒ x - 3 = 3(x + 3),

Step 2 ⇒ x - 3 = 3x + 9 ( By distributive property )

Step 3 ⇒ x = 3x + 12 ( Subtraction property of equality )

Step 4 ⇒ -2x = 12 ( Subtraction property of equality )

Step 5 ⇒ x = -6 ( Division property of equality )

Note : Division property of equality states that we can divide both sides of an equation by a same number.