x≠-1
[tex]\frac{5}{x+1}=\frac{4x}{3}\\\\4x(x+1)=5\cdot3\\\\4x^2+4x=15\\\\4x^2+4x+1-1=15\\\\4x^2+4x+1=15+1\\\\(2x+1)^2=16\\\\2x+1=-4\ \ \ lub\ \ \ 2x+1=4\\\\2x=-4-1\ \ \ \ \ \ \ \ \ \ 2x=4-1\\\\2x=-5\ \ \ |:2\ \ \ \ \ \ \ 2x=3\ \ \ |:2\\\\x=-2,5\ \ \ \ \ \ \ \ \ \ \ \ \ \ x=1,5[/tex]
