\(\left(4x-5\right)\left(x+2\right)-\left(x+5\right)\left(x-3\right)-3x^2-x\)
\(=4x^2-5x+8x-10-\left(x^2+5x-3x-15\right)-3x^2-x\)
\(=4x^2-5x+8x-10-x^2-5x+3x+15-3x^2-x\)
\(=\left(4x^2-x^2-3x^2\right)+\left(8x-5x-5x+3x-x\right)+\left(15-10\right)\)
\(=5\)
\(\Rightarrowđpcm\)