[latex] \frac{7x}{x-3} + \frac{1}{x}=7 [/latex]

[latex]\frac{7x}{x-3}+\frac{1}{x}=7\\ \frac{7x^2+x-3}{x^2-3x}=7\\ 7x^2+x-3=7x^2-21x\\ 22x=3\\ x=\frac{3}{22}[/latex]