Question 426440
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Hi
If I am understanding Your question properly
 {{{(x+5)/(x+6) = (x-2)/(x+4)}}}    |Cross Multiplying 
(x+5)(x+4) = (x+6)(x-2)
 x^2 + 9x + 20 = x^2 +4x - 12
      5x = -32
       x = -32/5

CHECKING our Answer***
 -7/5  / -2/5 = -42/5 / -12/5 = 7/2