Question

WILL GIVE BRAINLIEST Jorge solves the equation 4x - (x + 20) + 6 = 2(3x + 8) using the steps below. Step 1: 4x - x + 2 + 6 = 6x + 16 Step 2: 3x + 8 = 6x + 16 Step 3: 8 - 16 = 6x - 3x Step 4: -8 = 3x Step 5: -8/3 = x Jorge verifies his solution by substituting -8/3 into the original equation for x. He determines that his solution is incorrect. Which best describes Jorge’s error? A. Jorge distributed incorrectly. B. Jorge incorrectly combined like terms. C. Jorge incorrectly applied the addition and subtraction properties of equality. D. Jorge incorrectly applied the multiplication and division properties of equality.

Answer 1

Answer:

A. Jorge distributed incorrectly.

Step-by-step explanation:

4x - (x + 20) + 6 = 2(3x + 8)

4x - x - 20 + 6 = 6x + 16

3x - 14 = 6x + 16

3x - 6x = 16 + 14

-3x = 30

x = -10

For Step 1 of Jorge's work, he writes "4x - x + 2 + 6 = 6x + 16", instead of "4x - x - 20 + 6 = 6x + 16". That is the error that messes up the rest of his calculations.

What he did wrong does not apply to addition, subtraction, multiplication, or division, so we can eliminate choices C and D. Jorge isn't combining like terms, either, so we can eliminate choice B. What Jorge did wrong was that he distributed incorrectly, so that is your answer: A. Jorge distributed incorrectly.

Hope this helps!