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Jorge solves the equation 4 x minus (x + 2) + 6 = 2 (3 x + 8) using the steps below. Step 1: 4 x minus x + 2 + 6 = 6 x + 16 Step 2: 3 x + 8 = 6 x + 16 Step 3: 8 minus 16 = 6 x minus 3 x Step 4: Negative 8 = 3 x Step 5: Negative StartFraction 8 Over 3 EndFraction = x Jorge verifies his solution by substituting Negative StartFraction 8 Over 3 EndFraction into the original equation for x. He determines that his solution is incorrect. Which best describes Jorge's error?

Respuesta :

fichoh

Answer:

Kindly check explanation

Step-by-step explanation:

Give the steps used in solving the equation :

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

Step 1:

4 x - x + 2 + 6 = 6 x + 16

Step 2:

3 x + 8 = 6 x + 16

Step 3:

8 - 16 = 6x - 3x

Step 4:

- 8 = 3 x

Step 5:

- 8 / 3 = x

Jorge's error was made in STEP 1:

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

OPENING THE BRACKET SHOULD GIVE :

4x-x-2 +6 = 6x+16 AND NOT 4x - x+2+6 = 6x+ 16

Hence,

4x - x - 2 + 6 = 6x+16

3x + 4 = 6x + 16

4 - 16 = 6x - 3x

- 12 = 3x

-12 / 3 = x

-4 = x

Answer:

Jorge distributed incorrectly.

Step-by-step explanation:

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