Question

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

Answer 1

The student made the error at step 2.

Explanation:

The correct step will be:

Step 2; 6x − 12 = 14 + 2x

As 3 will be multiplied with 2x and 4 which will give 6x − 12