Since you do not have a picture, i will give you the steps, and you can see where the differences are at.
6x - 1 = -2x + 9
Note the equal sign. What you do to one side, you do to the other. Isolate the x.
First, add 1 to both sides
6x - 1 (+1) = -2x + 9 (+1)
6x = -2x + 10
Next, add 2x to both sides to isolate the x
6x (+2x) = -2x (+2x) + 10
6x + 2x = 10
8x = 10
Finally, isolate the x by dividing 8 from both sides
8x/8 = 10/8
x = 10/8 (may be where they stopped at, but you can go further)
Simplify. Divide 2 from top and bottom
(10/8)/(2/2) = 5/4
x = 5/4 should be final answer
hope this helps