Answer:
x = -31/32
Step-by-step explanation:
5 1/3 x+8 1/2 =3 1/3
Subtract 8 1/2 from each side
5 1/3 x+8 1/2-8 1/2 =3 1/3 - 8 1/2
5 1/3 x = 3 1/3 - 8 1/2
Get a common denominator of 6
5 1/3 *2/2 x = 3 1/3 * 2/2 - 8 1/2 * 3/3
5 2/6 x = 3 2/6 - 8 3/6
Change the mixed numbers to improper fractions
5 2/6 = (6*5+2) /6 = 32/6
3 2/6 = (6*3 +2)/6 = 20/6
8 3/6 = (6*8+3)/6 = 51/6
32/6x = 20/6 - 51/6
Multiply each side by 6
6* 32/6x = (20/6 - 51/6) *6
32x = 20-51
32x = -31
x = -31/32
