[tex] \frac{x + 1}{2} - \frac{5x - 1}{6} = x + 5 | \times 6 \\ 3(x + 1) - 1(5x - 1) = 6(x + 5) \\ 3x + 3 - 5x + 1 = 6x + 30 \\ - 2x - 6x = 30 - 4 \\ - 8x = 26 | \div ( - 8) \\ x = - \frac{26}{8} \\ x = - 3 \frac{2}{8} \\ x = - 3 \frac{1}{4} = - 3.25[/tex]
