2х(х-4)-(2х+5)(х-10)<2(3,5х+50)

Let's simplify the given inequality step by step:

2x(x - 4) - (2x + 5)(x - 10) < 2(3.5x + 50)

Expand the parentheses:

2x² - 8x - (2x² - 10x - 20x - 50) < 7x + 100

2x² - 8x - 2x² + 10x + 20x + 50 < 7x + 100

Combine like terms:

(-8x + 10x + 20x) + 50 < 7x + 100

22x + 50 < 7x + 100

Subtract 7x from both sides:

22x - 7x + 50 < 7x - 7x + 100

15x + 50 < 100

Subtract 50 from both sides:

15x + 50 - 50 < 100 - 50

15x < 50

Divide by 15 on both sides:

15x/15 < 50/15

x < 10/3

So, the solution to the given inequality is x < 10/3.