Yes, x=3. Remember this, DCVNS, it stands for D-istribute, C-ombine like terms, (Move) V-ariables to the LEFT, (Move) N-umbers to the RIGHT, S-olve.
Or to remember it, just put it this way, "Dumpster Contain Very Nasty Stuff" (Thats the trick our teacher made us use).
Alright, now on to the Equation.
So it says, 4x+6=9x-9, now remembering DCVNS, -4x -4x
6=5x-9
+9 +9
15=5x
5 5
3=x
x=3 ANSWER.