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

i got the first choice for my answer

Answer 2

Yes :)

Answer 3

are u sure ?

Answer 4

Yeah because
2(2x - 3) = 2(2x) - 2(3) = 4x - 6

Answer 5

ok thanks :D

Answer 6

You're welcome :)