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23 February, 05:08

The work of a student to solve the equation 3 (2x - 4) = 8 + 2x + 6 is shown below:

Step 1: 3 (2x - 4) = 8 + 2x + 6

Step 2: 5x - 7 = 14 + 2x

Step 3: 5x - 2x = 14 + 7

Step 4: 3x = 21

Step 5: x = 7

In which step did the student first make an error and what is the correct step?

Step 2; 6x - 12 = 14 + 2x

Step 2; 6x - 7 = 2 (6 + x + 4)

Step 3; 5x - 2x = 14 - 7

Step 3; 5x + 2x = 14 + 7

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Answers (1)
  1. 23 February, 08:56
    0
    The student made a mistake in step 2 because he added it instead of multiplying. So for step 2 the correct answer is 6x-12 = 8+2x+6
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