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
