[tex]a). \\ \frac{x}{3} - \frac{5}{6} = \frac{1}{12} - \frac{x}{2} /*12 \\ \\ 4x-10=1-6x \\ \\ 4x+6x=1+10 \\ \\ 10x=11/:10 \\ \\ x= \frac{11}{10} \\ \\ x=1 \frac{1}{10} [/tex]
[tex]b). \\ \frac{x}{2} - \frac{3}{4} = \frac{7}{8} + \frac{x}{4} /*8 \\ \\ 4x-6=7+2x \\ \\ 4x-2x=7+6 \\ \\ 2x=13/:2 \\ \\ x= \frac{13}{2} \\ \\ x=6 \frac{1}{2} [/tex]
[tex]c). \\ \frac{7}{9} + \frac{x}{2} = \frac{3}{2} - \frac{x}{18} /*18 \\ \\ 14+9x=27-x \\ \\ 9x+x=27-14 \\ \\ 10x=13/:10 \\ \\ x= \frac{13}{10} \\ \\ x=1 \frac{3}{10} [/tex]
[tex]d). \\ \frac{x}{9} + \frac{1}{2} = \frac{5}{4} - \frac{x}{6} + \frac{1}{12} \\ \\ \frac{x}{9} + \frac{1}{2} = \frac{15}{12} + \frac{1}{12} - \frac{x}{6} \\ \\ \frac{x}{9} + \frac{1}{2} = \frac{16}{12}- \frac{x}{6} \\ \\ \frac{x}{9} + \frac{1}{2}= \frac{4}{3} - \frac{x}{6} /*18 \\ \\ 2x+9=24-3x \\ \\ 2x+3x=24-9 \\ \\ 5x=15/:5 \\ \\ x=3[/tex]
