a) 3x-2 = 2x-3
<=> 3x-2x = -3+2
<=> x = -1
b) (5x-2)/3 = (5-3x)/2
<=> 2(5x-2)/6 = 3(5-3x)/6
<=> 10x-4 = 15- 9x
<=> 10x+9x = 15+4
<=> 19x = 19
<=> x = 1
c) 2x(x-5)+6(x-5) = 0
(x-5)(2x+6) = 0
TH1: x-5 = 0
x= 5
TH2: 2x+6 = 0
2x = -6
x = -3
d) 2/(x+1)-1/(x-2) = (3x-11)/(x+1)(x-2)
<=>2(x-2)/(x+1)(x-2)-(x+1)/(x+1)(x-2) = (3x-11)/(x+1)(x-2)
<=> 2x-4-x-1 = 3x-11
<=> 2x-x-3x = -11+4+1
<=> -2x = -6
<=> x = 3