Let's expand both sides of the equation and simplify:

Left side:
(8x + 10)(3 - x)
= 8x(3) + 8x(-x) + 10(3) + 10(-x)
= 24x - 8x^2 + 30 - 10x
= -8x^2 + 14x + 30

Right side:
(11 - 2x)(4x + 5) - 5
= 11(4x) - 11(2x) - 2x(4x) - 2x(5) - 5
= 44x - 22x - 8x^2 - 10x - 5
= -8x^2 + 12x - 5

Therefore, the equation simplifies to:
-8x^2 + 14x + 30 = -8x^2 + 12x - 5

Now, subtract 12x from both sides:
2x + 30 = -5

Subtract 30 from both sides:
2x = -35

Divide by 2:
x = -35/2 = -17.5

Therefore, the solution to the equation is x = -17.5.