2 2/5 x + 3 2/15 = 3 1/5 x + 2 1/3

Convert mixed numbers to improper fractions:
(12/5)x + (47/15) = (16/5)x + (7/3)
Isolate x terms: (47/15) - (7/3) = (16/5)x - (12/5)x
Simplify: (47/15) - (35/15) = (4/5)x
(12/15) = (4/5)x
(4/5) = (4/5)x
Solve for x: x = 1