[tex]\frac{x-3}5-\frac{x-1}6\geq \frac{x}{15}-1\\\frac{6(x-3)}{30}-\frac{5(x-1)}{30}\geq \frac{2x}{30}-\frac{30}{30}\\\frac{6x-18}{30}-\frac{5x-5}{30}\geq \frac{2x-30}{30}\\\frac{6x-18-5x+5}{30}\geq \frac{2x-30}{30}\\\frac{x-13}{30}\geq \frac{2x-30}{30} /*30\\x-13\geq 2x-30\\-13-30\geq 2x-x\\17\geq x\\x\leq 17[/tex]