a,$\frac{x-2}{3}$= $\frac{4}{5}$
=>(x-2)*5=4*3
=>5x-10=12
=>5x=22
=>x=$\frac{22}{5}$
b,$\frac{x+3}{-4}$= $\frac{5}{20}$
=>(x+3)*20=5*-4
=>20x+60=-20
=>20x=-80
=>x=-4
c,$\frac{3}{x-1}$= $\frac{21}{16}$
=>3*16=(x-1)*21
=>48=21x-21
=>69=21x
=>x=$\frac{23}{7}$
d,$\frac{52}{2x-1}$= $\frac{13}{30}$
=>52*30=(2x-1)*13
=>1560=26x-13
=>1573=26x
=>x=60.5