a: 4x(x-5)-(x-1)(4x-3)=5
=>\(4x^2-20x-\left(4x^2-3x-4x+3\right)=5\)
=>\(4x^2-20x-4x^2+7x-3=5\)
=>-13x=8
=>\(x=-\frac{8}{13}\)
b: \(\left(x-5\right)\left(x-4\right)-\left(x+1\right)\left(x-2\right)=7\)
=>\(x^2-9x+20-\left(x^2-2x+x-2\right)=7\)
=>\(x^2-9x+20-\left(x^2-x-2\right)=7\)
=>\(x^2-9x+20-x^2+x+2=7\)
=>-8x+22=7
=>-8x=7-22=-15
=>\(x=\frac{15}{8}\)
c: \(\left(3x-4\right)\left(x-2\right)=3x\left(x-9\right)-3\)
=>\(3x^2-6x-4x+8=3x^2-27x-3\)
=>-10x+8=-27x-3
=>17x=-11
=>\(x=-\frac{11}{17}\)
d: \(5x\left(x-3\right)=\left(x-2\right)\left(5x-1\right)-5\)
=>\(5x^2-15x=5x^2-x-10x+2-5\)
=>-15x=-11x-3
=>-4x=-3
=>\(x=\frac34\)
