The work of a student trying to solve the equation 4(2x − 1) = 11 + 3x + 5 is shown below:

Question

Step 1: 4(2x − 1) = 11 + 3x + 5
Step 2: 8x − 4 = 16 + 3x
Step 3: 8x + 3x = 16 − 4
Step 4: 11x = 24
Step 5: x = 2.18

In which step did the student first make an error and what is the correct step? (4 points)


Step 2: 8x − 1 = 16 + 3x

Step 2: 8x − 8 = 6 + 3x

Step 3: 8x − 3x = 16 + 4

Step 3: 8x + 3x = 16 − 8

Answer 1

Step 3: 8x + 3x = 16 − 4

The correct step should be: 8x + 3x = 16 + 4

Therefore, the error occurred in Step 3.