Let's first expand the right side of the inequality:

(2x-1)*(x+5) = 2x^2 + 10x - x - 5 = 2x^2 + 9x - 5

Now we can rewrite the original inequality as:

14x - 2 > 2x^2 + 9x - 5

Next, let's simplify the right side of the inequality:

2x^2 + 9x - 5

Now we can rewrite the inequality as:

14x - 2 > 2x^2 + 9x - 5

Subtract 14x from both sides to isolate the x term:

-2 > 2x^2 + 9x - 5 - 14x

Now combine like terms:

-2 > 2x^2 - 5x - 5

Rearrange to bring the terms to the left side:

2x^2 - 5x - 5 < -2

Now we have the final inequality:

2x^2 - 5x - 5 < -2