The work of a student to solve a set of equations is shown below:

equation 1: m = 6 + n
equation 2: 2m = 8 + 8n

step 1: −2(m) = −2(6 + n)
2m = 8 + 8n

step 2: −2m = −12 − 2n
2m = 8 + 8n

step 3: −12 − 2n = 8 + 8n

step 4: −20 = 10n

step 5: n = −2

in which step did the student first make an error?
step 2
step 3
step 4
step 5

If you would like to know in which step did the student first make an error, you can find this using the following steps:

m = 6 + n
2m = 8 + 8n

-2(m) = -2(6+n)
2m = 8 + 8n

-2m = -12 - 2n
2m = 8 + 8n

-12 - 2n = - (8 + 8n) ... Step 3
-12 - 2n = -8 - 8n
- 2n + 8n = -8 + 12
6n = 4
n = 4/6 = 2/3

The correct result would be: Student made an error in Step 3.

What’s the equation you are trying to solve to get x?