Use the Gauss-Jordan method to solve this system

This is the augmented matrix:

[1 -2 -1 | 2]
[2 3 1 | -3]
[3 5 0 | -1]

I have to solve it using this method, but I already know the answer, so if someone could show me the steps that would be great. I tried for so long, but somehow I can't get it.

Thanks so much!

[..1...-2...-1....2] 2R1 - R2 ---> R2
[..2....3....1...-3] 3R1 - R3 ---> R3
[..3....5....0...-1]
----------------------

[..1...-2...-1....2] R2 - R3 ---> R2
[..0...-7...-3....7] 3R1 - R3 ---> R1
[..0..-11..-3....7]
----------------------

[..3....5....0...-1] 11R2 + 4R3 ---> R3
[..0....4....0....0] 4R1 - 5R2 ---> R1
[..0..-11..-3....7]
----------------------

[.12...0....0...-4] R1/12 ---> R1
[..0....4....0....0] R2/4 ---> R2
[..0....0..-12...28] R3/-12 ---> R3
----------------------

[..1...0....0...-1/3]
[..0...1....0....0]
[..0...0....1...-7/3]
----------------------

1 -2 -1 2
2 3 1 -3
3 5 0 -1

1 -2 -1 2
0 7 3 -7
0 11 3 -7

1 -2 -1 2
0 1 0,428571429 -1
0 0 -1,714285714 4

1 -2 -1 2
0 1 0,428571429 -1
0 0 1 -2,333333333

1 -2 0 6,666666667
0 1 0 0
0 0 1 -2,333333333

1 0 0 6,666666667
0 1 0 0
0 0 1 -2,333333333