Question

Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 + 5x = 9x − 36 Step 2 ⇒ 3x + 5x − 12 = 9x − 36 Step 3 ⇒ 8x − 12 = 9x − 36 Step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36 Step 5 ⇒ 0 − 12 = x − 36 Step 6 ⇒ −12 = x − 36 Step 7 ⇒ −12 + 36 = x − 36 + 36 Step 8 ⇒ 24 = x + 0 Step 9 ⇒ 24 = x Which property yields Step 1?

Answer 1

You have the following equation given in the problem shown above: 3(x−4)+5x=9x−36  
 The step 1 is:  Step 1⇒3x−12+5x=9x−36
 Then, as you can see, the property that was applied in the step 1 is the distributive property, where the terms that are into the parenthesis, were multiplied by 3.

 The answer is: Distributive property.

Answer 2

Answer:

additive property

Step-by-step explanation: