Given the expression:
[tex]\frac{x+4}{x}-\frac{3}{2}=-\frac{1}{x}[/tex]
We can rewrite it as:
[tex]\frac{x+4}{x}+\frac{1}{x}=\frac{3}{2}[/tex]
Solving the expression:
[tex]\begin{gathered} \frac{x+4+1}{x}=\frac{3}{2} \\ \\ \frac{x+5}{x}=\frac{3}{2} \end{gathered}[/tex]
Cross multiplication:
2x + 10 = 3x
Solving for x:
3x - 2x = 10
x = 10
