The inequality is

x

4

<

(5x−2)

3

-

(7x−3)

5

Multiplying each term by the L.C.M. of 4, 3, 5, i.e., by 60, we get
15x < 100x – 40 – 84x + 36
or, 15x < 100x – 84x – 40 + 36 or, 15x < 16x – 4
Tranposing 16x to L.H.S., we get 15x – 16x < – 4 or – x < – 4
Multiplying both sides by –1, we get x > 4
∴ The solution is (4, ∞).