Question

Giải các phương trình sau

a) \(\frac{7x-3}{x-1}=\frac{2}{3}\)

b) \(\frac{2\left(3-7x\right)}{1+x}=\frac{1}{2}\)

c) \(\frac{1}{x-2}+3=\frac{3-x}{x-2}\)

d) \(\frac{8-x}{x-7}-8=\frac{1}{x-7}\)

e) \(\frac{x+5}{x-5}-\frac{x-5}{x+5}=\frac{20}{x^2-25}\)

f)\(\frac{1}{x-1}+\frac{2}{x+1}=\frac{x}{x^2-1}\)

g) \(\frac{x}{2\left(x-3\right)}+\frac{x}{2\left(x+1\right)}=\frac{2x}{\left(x+1\right)\left(x-3\right)}\)

h)\(5+\frac{76}{x^2-16}=\frac{2x-1}{x+4}-\frac{3x-1}{4-x}\)

i) \(\frac{90}{x}-\frac{36}{x-6}=2\)

k) \(\frac{1}{x}+\frac{1}{x=10}=\frac{1}{12}\)

l) \(\frac{x+3}{x-3}-\frac{1}{x}=\frac{3}{x\left(x-3\right)}\)

m) \(\frac{3}{x+2}-\frac{2}{x-2}+\frac{8}{x^2-4}=0\)

n) \(\frac{3}{x+2}-\frac{2}{x-3}=\frac{8}{\left(x-3\right)\left(x+2\right)}\)

o)\(\frac{x}{2x+6}-\frac{x}{2x+2}=\frac{3x+2}{\left(x+1\right)\left(x+3\right)}\)

p) \(\frac{x}{x+1}-\frac{2x-3}{1-x}=\frac{3x^2+5}{x^2-1}\)

q) \(\frac{5}{x+7}+\frac{8}{2x+14}=\frac{3}{2}\)

r) \(\frac{x-1}{x}=\frac{1}{x+1}=\frac{2x-1}{x^2+x}\)