x=-9.
explanation: You want to set the equation equal to 0, so 0=2/3x+6. Subtract 6 from each side... -6=2/3x. then multiply each side by the reciprocal of 2/3, or 3/2. The equation is now 6(3/2) = 2/3x(3/2). Knowing that the reciprocal of any number times itself =1, we can conclude that -18/2, or -9=1x.