Question

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

Step 1: 2(2x − 3) = 6 + 2x + 4
Step 2: 4x − 3 = 10 + 2x
Step 3: 4x − 2x = 10 + 3
Step 4: 2x = 13
Step 5: x = 6.5

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

Group of answer choices

Step 3: 4x + 2x = 10 + 3
Step 2: 4x − 3 = 2 + 2x
Step 3: 4x − 2x = 10 - 3
Step 2: 4x − 6 = 10 + 2x

Answer 1

Step 2 is wrong, and the right step 2 is 4x − 6 = 10 + 2x

Explanation:

The student didn't multiply 2(3) in step 2

Answer 2

Step 2: 4x - 6 = 10 + 2x

Explanation:

2 needs to be distributed to all terms inside the parentheses.