rewrite the mixed numbers as improper fractions
16/3x + 17/2 = 10/3
solve
subtract 17/2 from both sides
16/3x = -31/6
rewrite
16x/3 = -31/6
multiply both sides by 3
16x = -93/6
16x = -31/2
divide both sides by 16
-31/2 ÷ 16
rewrite
-31/2 ÷ 16/1
keep first fraction, change to multiplication, flip the second fraction
-31/2 * 1/16
multiply across
(-31 * 1) / (2 * 16)
-31/ 32
x = -31/32
Hope this helps