[tex]a) \frac{2}{5} x - 3 = - \frac{1}{10} x + 1[/tex]

[tex] \frac{4}{10} x - 30 = - \frac{1}{10} x + 10[/tex]

[tex]4x - 30 = - 1x + 10[/tex]

[tex]4x + 1x = 10 + 30[/tex]

[tex]5x = 40[/tex]

[tex]x = 40 \div 5[/tex]

[tex]x = 8[/tex]

[tex]b) - \frac{x}{6} + \frac{x}{24} = \frac{5}{8} [/tex]

[tex] - 4x + x = 15[/tex]

[tex] - 3x = 15[/tex]

[tex]x = 15 \div ( - 3)[/tex]

[tex]x = - 5[/tex]

[tex]c) \frac{11}{12} x = \frac{3}{4} x - \frac{1}{9} [/tex]

[tex] \frac{33}{36} x = \frac{27}{36} x - \frac{4}{36} [/tex]

[tex]33x = 27x - 4[/tex]

[tex]33x - 27x = - 4[/tex]

[tex]6x = - 4[/tex]

[tex]x = - 4 \div 6[/tex]

[tex]x = - \frac{4}{6} [/tex]

[tex]x = - \frac{2}{3} [/tex]