[tex]|\frac{5x-1}{x-2}|=4; \ x\neq2\\\\\frac{5x-1}{x-2}=4 \ \vee \ \frac{5x-1}{x-2}=-4\\\\5x-1=4x-8 \ \vee \ 5x-1=-4x+8\\\\5x-4x=-8+1 \ \vee \ 5x+4x=8+1\\\\\underline{x=-7} \ \vee \ \underline{x=1}[/tex]
