Let's start by simplifying both sides of the equation.

24 - (8x - 19) = 30 + 5x + 28 - 3x

Next, we distribute the negative sign on the left side.

24 - 8x + 19 = 30 + 5x + 28 - 3x

Now, we combine like terms on both sides.

43 - 8x = 58 + 2x

Now, we isolate the variable terms on one side.

43 - 8x = 58 + 2x
43 - 43 - 8x = 58 - 43 + 2x
-8x = 15 + 2x
-8x - 2x = 15
-10x = 15

Finally, we solve for x.

x = 15 / -10
x = -1.5

Therefore, the solution to the equation is x=-1.5.