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?

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

Answer 1

@confluxepic

Answer 2

look how they distributed in step 2

Answer 3

so thats not correct, right?

Answer 4

Yes.

Answer 5

$$\Huge a(b+c)=ab+ac$$

Answer 6

give me a second

Answer 7

so a?

Answer 8

Yes