b: \(\dfrac{x-1}{5}=\dfrac{2x+1}{3}\)
=>10x+5=3x-3
=>7x=-8
hay x=-8/7
c: \(\dfrac{37-x}{x+13}=\dfrac{3}{7}\)
=>259-7x=3x+39
=>-10x=-220
hay x=22
d: \(\dfrac{x-1}{x+2}=\dfrac{x-2}{x+1}\)
\(\Leftrightarrow\left(x-1\right)\left(x+1\right)=\left(x-2\right)\left(x+2\right)\)
\(\Leftrightarrow x^2-1=x^2-4\)(vô lý)
e: \(\dfrac{x+4}{20}=\dfrac{5}{x+4}\)
\(\Leftrightarrow\left(x+4\right)^2=100\)
=>x+4=10 hoặc x+4=-10
=>x=6 hoặc x=-14