Question

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?

Answer 1

The answer is D.

Answer 2

step 2...first error...when distributing through the parenthesis, u multiply, not add.

4(2x - 4) = 8 + 2x + 8 =
8x - 16 = 16 + 2x <== correction