Question

x = (8*x - 35)/(x - 4)

Answer 1

$x= frac{8x-35}{x-4} \\ x^2-4x=8x-35\\ x^2-12x+35=0\\ D=144-140=4; sqrt{D}=2\\ x_{1/2}= frac{12 pm 2}{2} \\ x_1=7\\ x_2=5$