Our starting equation is: 1/2x + 8 = 15 + 2/3x To solve this equation, we are going to move all of the constants to the left side of the equation and the variables to the right side of the equation. (8-15) = (2/3x - 1/2x) Now, let's simplify both sides of the equation. However, in order to simplify the right side of the equation, we need to find a common denominator. In this case, the common denominator is 6. -7 = 4/6x - 3/6x Now, let's simplify the right side of the equation further. -7 = 1/6x Finally, in order to get rid of the fractional coefficient on the right side, we must multiply both sides by 6. -42 = x Thus, your answer is D. x = -42