[tex]\begin{gathered} Equation: \\ \frac{x+5}{x}-\frac{1}{x}=\text{ }\frac{x}{2} \\ 2(x+5)\text{ -2 = x}^2 \\ 0\text{ = x}^2+2\text{ -10 -2x} \\ 0\text{ = x}^2\text{ -2x -8} \\ 0\text{ = \lparen x-4\rparen\lparen x+2\rparen} \\ x\text{ = 4 or x = -2} \end{gathered}[/tex]
Correct option B.
