[tex]x - \frac{1 - x}{8} = \frac{1}{4} + \frac{3x - 1}{10} [/tex]
[tex] \frac{8x - 1 - x}{8} = \frac{10 + 12x - 4}{40} [/tex]
[tex] \frac{7x}{8} - \frac{1}{8} = \frac{12x}{40} - \frac{6}{40} [/tex]
[tex] \frac{7x}{8} - \frac{1}{8} = \frac{3x}{10} - \frac{3}{20} [/tex]
[tex] \frac{7x }{8} - \frac{1}{8} - \frac{3x}{10} + \frac{3}{20} = 0 [/tex]
[tex] \frac{70x - 24x}{80} + \frac{24 - 20}{160} = 0[/tex]
[tex] \frac{46x}{80} + \frac{4}{160} = 0[/tex]
[tex] \frac{23x}{40} + \frac{1}{40} = 0[/tex]
[tex]23x + 1 = 0[/tex]
[tex]23x = - 1[/tex]
[tex]x = - \frac{ 1}{23} [/tex]
