Решите уравнения:

1) x-2/6 + x/2 = 5x-2/9;

2) 5+2x/3 = x-3/5 + x+5/2;

3) 3 (x+1) / 8 + 2 (5-x) / 3 = 16-13x;

4) 5 (7-2x) / 3 - 4x-2/9 = x-19/2.

1) x-2/6 + x/2 = 5x-2/9;

х+х/2-5 х=2/6-2/9

х (1+1/2-5) = 6/18-4/18

х (2/2+1/2-10/2) = 1/9

-7/2 х=1/9

х=1/9: (-7/2)

х=1/9 * (-2/7)

х=-2/63

2) 5+2x/3 = x-3/5 + x+5/2;

2 х/3-х-х=5/2-3/5-5

х (2/3-1-1) = 25/10-6/10-50/10

х (2/3-3/3-3/3) = (-31/10)

-4/3 х = (-31/10)

х = (-31/10) : (-4/3)

х = (-31/10) * (-3/4)

х=93/40

3) 3 (x+1) / 8 + 2 (5-x) / 3 = 16-13x;

3/8 х+3/8+10/3-2/3 х=16-13 х

3/8 х-2/3 х+13 х=16-3/8-10/3

х (3/8-2/3+13) = 384/24-9/24-80/24

х (9/24-16/24+312/24) = 295/24

305/24 х=295/24

х=295/24:305/24

х=295/24*24/305

х=295/305

х=59/61

4) 5 (7-2x) / 3 - 4x-2/9 = x-19/2.

35/3-10/3 х-4 х-2/9-х=-19/2

-10/3 х-4 х-х=-19/2-35/3

х (-10/3-4-1) = - 57/6-70/6

х (-10/3-15/3) = - 127/6

х (-25/3) = - 127/6

х=-127/6: (-25/3)

х=-127/6 * (-3/25)

х=127/50