Question 845664
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Hi,
{{{(x+2)/(x+3) + 1/(x+3)(x-1) = 1}}}   |Multiplying thru by (x+3)(x-1) so as all denominators = 1
(x+2)(x-1) + 1 = (x+3)x-1)
 x^2 + x -2 + 1 = x^2 +2x - 3
            2 = x
CHECKING our answer***  x = 2
{{{(x+2)/(x+3) + 1/(x+3)(x-1) = 1}}} 
   4/5 + 1/5 = 1
Wish You the Best in your Studies.