So you are first going to want to combine the like terms (in this case, 4x + 6x = 10x) so that the equation is 10x = 9x-10. Next, subtract 9x from both sides.
10x = 9x - 10
-9x -9x
-------------------
x = -10
Sometimes there are more steps, but in general, as long as you do the addition and subtraction before any multiplication, division, or exponential work, you will not have many problems.