[tex] \frac{ - 3}{4} (x - 3) - 5 = \frac{1}{8} (x - 1)[/tex]
[tex] \frac{ - 3}{4} x + \frac{9}{4} - 5 = \frac{1}{8} x - \frac{1}{8} [/tex]
[tex] \frac{ - 3}{4} x - \frac{1}{8} x = - \frac{1}{8} - \frac{9}{4} + 5[/tex]
[tex] \frac{ - 6x}{8} - \frac{x}{8} = \frac{ - 1}{8} - \frac{18}{8} + \frac{40}{8} [/tex]
[tex] \frac{ - 6x - x}{8} = \frac{ - 1 - 18 + 40}{8} [/tex]
[tex] \frac{ - 7x}{8} = \frac{21}{8} [/tex]
[tex] - 7x = 21[/tex]
[tex]x = \frac{21}{ - 7} [/tex]
[tex]x = - 3[/tex]