Consider the sequence of steps to solve the equation:

x-3/3=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

Identify the property of equality which yields Step 1.

A) Division Property

B) Addition Property

C) Subtraction Property

D) Multiplication Property

You are given the equation:

(x - 3) / 3 = x + 3

The first step to solving is getting rid of the denominator on the left-hand side of the equation. You get rid of denominators by multiplying both sides of the equation by the reciprocal. The denominator here is 3, so you'd multiply both sides of the equation by 3. That yields the equation in Step 1.

Since you are multiplying both sides of the equation by a quantity, you are using the Multiplication Property.

Answer:

D) Multiplication Property