Question 124185
The given expression is: 


{{{(2x+5)/(2x+3)}}}  =  {{{(x+3)/(x-1)}}} 



By cross multiplying we get: 


(2x + 5)(x - 1) = (x + 3)(2x + 3) 


Simplifying the above equation using the distributive property, we get:



{{{(2x^2 + 3x - 5)}}} = {{{(2x^2 + 9x + 9)}}} 



Grouping all the terms we get: 



3x - 5 - 9x - 9 = 0 



-6x - 14 = 0 


6x + 14 = 0 


6x = -14


x = -14/6 


x = -7/3 


Thus, the solution.



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