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/2-5х=2/6-2/9 х(1+1/2-5)=6/18-4/18 х(2/2+1/2-10/2)=1/9 -7/2х=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; 2х/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) -4/3х=(-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; 3/8х+3/8+10/3-2/3х=16-13х 3/8х-2/3х+13х=16-3/8-10/3 х(3/8-2/3+13)=384/24-9/24-80/24 х(9/24-16/24+312/24)=295/24 305/24х=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. 35/3-10/3х-4х-2/9-х=-19/2 -10/3х-4х-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