Answer:
x = -19
Step-by-step explanation:
For this problem, we simply need to get rid of the fractions so we can easily solve for x.
To get rid of these fractions, we will multiply the whole equation by the LCD which is 2 * 3 = 6.
( x / 2) - ( 1 / 2) = ( 2x / 3) + ( 8 / 3 )
6 * ( x / 2) - 6 * ( 1 / 2) = 6 * (2x / 3) + 6 * ( 8 / 3 )
3x - 3 = 4x + 16
3x - 3x - 3 - 16 = 4x - 3x + 16 - 16
0x - 19 = x + 0
x = - 19
Thus, for the equation to be true, x must be equal to negative 19.
Cheers.
