You will want to start by making your fractions have the same denominator. To do this, multiply the 2/3 by 2/2, to make it 4/6. Now we have this equation:
-4/6x = 1/6x + 4
Next, subtract 1/6x from both sides:
-5/6x = 4
Finally, multiply both sides by -6/5, and you get your answer:
x = -4.8