Let's simplify the equation step by step:

First, distribute the terms on both sides of the equation:

4х^2 + х - 7х^2 + 14х = 24х - 3х^2 + 6

Combine like terms:

-3х^2 + 15х = 24х - 3х^2 + 6

Remove the common terms:

15х = 24х + 6

Subtract 24x from both sides:

15x - 24x = 6

-9x = 6

Divide by -9:

x = -6/9

Simplify the fraction:

x = -2/3

Therefore, the solution to the equation is x = -2/3.