Initial state:

3 4 8
2 7 5
1 6

Move tile 6

3 4 8
2 7 5
1   6

Move tile 7

3 4 8
2   5
1 7 6

Move tile 4

3   8
2 4 5
1 7 6

Move tile 8

3 8
2 4 5
1 7 6

Move tile 5

3 8 5
2 4
1 7 6

Move tile 4

3 8 5
2   4
1 7 6

Move tile 8

3   5
2 8 4
1 7 6

Move tile 3

  3 5
2 8 4
1 7 6

Move tile 2

2 3 5
  8 4
1 7 6

Move tile 1

2 3 5
1 8 4
  7 6

Move tile 7

2 3 5
1 8 4
7   6

Move tile 8

2 3 5
1   4
7 8 6

Move tile 4

2 3 5
1 4
7 8 6

Move tile 5

2 3
1 4 5
7 8 6

Move tile 3

2   3
1 4 5
7 8 6

Move tile 2

  2 3
1 4 5
7 8 6

Move tile 1

1 2 3
  4 5
7 8 6

Move tile 4

1 2 3
4   5
7 8 6

Move tile 5

1 2 3
4 5
7 8 6

Move tile 6

1 2 3
4 5 6
7 8