To know the answer I'll sove the equation step-by-step for you:
[tex]x + 6 = 3(x-4)
[/tex]
[tex]x + 6 = 3x - 12[/tex]
Collecting terms gives us
[tex]-2x = - 18[/tex]
Finally we have to divide by -2
[tex]x = -18 / -2 = 9[/tex]
So our answer: yes x = 9 is a solution of the equation.