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20 August, 17:20

A student solved 6x+4=2 (x-8) in four steps as shown:

Step 1: 6x+4=2x-8

Step 2: 4x+4=-8

Step 3: 4x=-12

Step 4: x=-3

Which statement is an accurate interpretation of the students work?

Question 1 options:

The correct solution is x=-3

The student made an error in Step 1.

The student made an error in Step 3

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Answers (1)
  1. 20 August, 19:06
    0
    The first thing you should do is solve the equation yourself.

    1) Distribute the 2.

    6x + 4 = 2x - 16

    2) Next, you'll want to get the x's on one side. So add - 2x to both sides.

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

    4x + 4 = - 16

    3) Now subtract 4 from both sides

    4x + 4 - 4 = - 16 - 4

    4x = - 12

    4) Finally, divide both sides by 4

    4x/4 = - 12/4

    x = - 3

    To solve this problem all you need to do is look back out you work, and figure out the correct solution. The answer the question is The student made an error in Step 1.
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