Question 634425
Solve for x 
(x-1)/(x-5) = (2x+1)/(x-2)
LCD: (x-5)(x-2)
(x-1)(x-2)=(2x+1)(x-5)
you can also cross-multiply to get the same result
x^2-3x+2=2x^2-9x-5
x^2-6x-7=0
(x-7)(x +1)=0
x-7=0
x=7
or
x+1=0
x=-1
..
check:
for x=7x
(x-1)/(x-5) = (2x+1)/(x-2)
7-1)/(7-5) = (2*7+1)/7-2)
6/2=15/5
3=3
..
for x=-1
(-1-1)/(-1-5) = (2*-1+1)/(-1-2)
-2/-6=-1/-3
1/3=1/3