To solve this inequality, we can start by expanding both sides:

Left side:
(5x-4)(7x+5)
= 35x^2 + 25x - 28x - 20
= 35x^2 - 3x - 20

Right side:
(5x-4)(7x-5)
= 35x^2 - 25x - 28x + 20
= 35x^2 - 53x + 20

Now, we have the inequality:
35x^2 - 3x - 20 > 35x^2 - 53x + 20

Subtracting 35x^2 from both sides, we get:
-3x - 20 > -53x + 20

Adding 53x to both sides, we get:
50x - 20 > 20

Adding 20 to both sides, we get:
50x > 40

Dividing by 50, we get:
x > 0.8

Therefore, the solution to the inequality is x > 0.8.