Answer
x=6
Work Step by Step
Original Equation
$\frac{x^{2}+5}{x}$-1 = $\frac{5(x+1)}{x}$
Multiply equation by x
$x^{2}$+5-x = 5x+5
Simplify
$x^{2}$-6x=0
Factor out x
x(x-6)
x=0, x=6
Because x=0 would make the denominator equal 0, the solution is x=6