1)x-2/6+x/2=5x-2/9. 2)5+2x/3=x-3/5+x+5/2.

1) [latex]x- \frac{2}{6} + \frac{x}{2} = 5x- \frac{2}{9} [/latex] [latex]x+ \frac{x}{2}- 5x = - \frac{2}{9}+ \frac{2}{6} [/latex] [latex] \frac{x}{2} - 4x = - \frac{4+6}{18} [/latex] [latex] \frac{x}{2}-4x= -\frac{5}{9} [/latex] Обе части уравнения умножаем на 2: [latex]x - 8x = -\frac{10}{9} [/latex] [latex]-7x=-1 \frac{1}{9} [/latex][latex]x=-1 \frac{1}{9} : (-7) = \frac{-10*1}{9*(-7)} = \frac{-10}{-63}= \frac{10}{63} [/latex] 2)[latex]5+ \frac{2x}{3} =x- \frac{3}{5} + x + \frac{5}{2} [/latex] [latex] \frac{2x}{3}-x-x=- \frac{3}{5}+ \frac{5}{2} -5 [/latex] [latex] \frac{2x}{3} - 2x = \frac{6+25-50}{10} [/latex] [latex] \frac{2x}{3}-2x= -\frac{19}{10} [/latex] Обе части уравнения умножаем на 3: [latex]2x-6x = - \frac{19*3}{10} [/latex] [latex]-4x= -\frac{57}{10} [/latex] [latex]4x= \frac{57}{10} [/latex] [latex]x= \frac{57}{10*4} [/latex] x=[latex] \frac{57}{40} [/latex]