(1)3/(x+3)=4
x+3=3/4
x=-9/4
(2) 2/(x-1)=3/(x+1)
2(x+1)=3(x-1)
2x+2=3x-3
x=5
(3) 5/(2x-1)+3/(1-2x)=2
5/(2x-1)-3/(2x-1)=2
(5-3)/(2x-1)=2
2x-1=1
x=1
(4) 1/x+1/2x+1/3x=1
6/6x+3/6x+2/6x=1
11/6x=1
x=6/11
(5) (2-x)/(3x-1)+7/(1-3x)=1
(2-x)/(3x-1)-7/(3x-1)=1
(2-x-7)/(3x-1)=1
-x-5=3x-1
4x=-4
x=-1
(6) 4/(x+1)-5/[2(x+1)]=1
8/[2(x+1)]-5/[2(x+1)]=1
2(x+1)=3
x=1/2
(7) (2-x)/(x-3)=2/3
3(2-x)=2(x-3)
6-3x=2x-6
x=12/5