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 + 2x43 - 43 - 8x = 58 - 43 + 2x-8x = 15 + 2x-8x - 2x = 15-10x = 15
Finally, we solve for x.
x = 15 / -10x = -1.5
Therefore, the solution to the equation is x=-1.5.
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.