[tex]|\frac{2x-1}{6x+3}|=1; \ x\neq-\frac{1}{2}\\\\\frac{2x-1}{6x+3}=1 \ \vee \ \frac{2x-1}{6x+3}=-1\\\\2x-1=6x+3 \ \vee \ 2x-1=-6x-3\\\\-4x=4 \ \vee \ 8x=-2\\\\\underline{x=-1} \ \vee \underline{\ x=-\frac{1}{4}}[/tex]