(x+4)^2-(x+5)^2+(x-3)^2=24-3x
x²+8x+16-x²-10x-25+x²-6x+9=24-3x
-2x-9+x²-6x+9=24-3x
x²-8x=24-3x
x²-5x-24=0
(x-8)(x+3)=0
x=8,x=-3
(x+4)^2-(x+5)^2+(x-3)^2=24-3x
x²+8x+16-x²-10x-25+x²-6x+9=24-3x
-2x-9+x²-6x+9=24-3x
x²-8x=24-3x
x²-5x-24=0
(x-8)(x+3)=0
x=8,x=-3