Question

Maya is asked to solve the equation 2(3x + 6) - 3(x - 10). The table shows her steps.Step 1: 6x + 12 = 3(x - 10)Step 2: 6x + 12 = 3x + 30Step 3: 3x + 12 = 30Step 4:3x = 18Step 5: x= 6Where did Maya make a mistake in solving the equation, and why?A. Maya made a mistake between the Given and Step 1 because she did not correctly distribute 2 to (3x + 6).B. Maya made a mistake between Step 1 and Step 2 because she did not correctly distribute 3 to (x10).C. Maya made a mistake between Step 2 and Step 3 because she did not correctly subtract 3x from 6x.D. Maya made a mistake between Step 3 and Step 4 because she did not correctly subtract 12 from 30.

Answer 1

Let's solve the following equation to see where Maya made a mistake:

2 (3x + 6) = 3 (x - 10)

Step 1: Solving parenthesis

6x + 12 = 3x - 30

Step 2: Like terms

6x - 3x = -30 - 12

Step 3: Complete the subtractions at both sides

3x = -42

Step 4: Dividing by 3 at both sides

3x/3 = -42/3

x = -14

Maya didn't multiply correctly 3 * - 10

Yes, Javionery, option B is the correct one.