The work of a student to solve the equation 4(2x - 4) = 8 + 2x + 8 is shown below:
Step 1: 4(2x - 4) = 8 + 2x + 8
Step 2: 6x - 8 = 16 + 2x
Step 3: 6x - 2x = 16 + 8
Step 4: 4x = 24
Step 5: x = 6
In which step did the student first make an error and what is the correct step?
The error occurred in Step 3. The correct step should be:
Step 3: 6x - 8 = 16 + 2x
Step 3 (corrected): 6x - 2x = 16 + 8
The error was in incorrectly combining the constants on the right side of the equation.