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.

Option B Jorge incorrectly combined like terms.

Step-by-step explanation:

we have

step 1

Eliminate the parenthesis is the left side and distribute in the right side

step 2

Combine like terms in the left side

step 3

Subtract (3x+16) both sides

step 4

Combine like terms in the right side

step 5

Divide by 3 both sides

The correct option is B) Jorge incorrectly combined like terms.

Step-by-step explanation:

Consider the provided equation:

Step 1: Remove the parentheses and apply the distributive property: a(b+c)=ab+ac.

Step 2: Now add the like terms.

Step 3: Isolate the variable:

Step 4: Now divide the both side by 3.

Now compare the above steps with the steps perform by Jorge.

By observing we can identify that the Jorge incorrectly combined like terms.

Hence, the correct option is B) Jorge incorrectly combined like terms.

1

step-by-step explanation:

it's the only multiple of both and the least

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign