Question 759110

I need help please. 

Solve this proportion for the variable:  x+2/x+6=x-4/x-2
Answer Options:
A.  x=-10
B.  x=7
C.  x=10
D.  x=-7


{{{(x + 2)/(x + 6) = (x - 4)/(x - 2)}}}, with {{{x<> - 6}}}, or {{{x <> 2}}}


(x + 2)(x - 2) = (x + 6)(x - 4) ------ Cross-multiplying


{{{x^2 - 4 = x^2 + 2x - 24}}}


{{{x^2 - x^2 + 2x = - 4 + 24}}}


2x = 20


x = {{{(20)/2}}}, or {{{highlight_green(10)}}} (CHOICE C)


You can do the check!!


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