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x in (-oo:+oo)
(x+3)/5 = (2*x-9)/4 // - (2*x-9)/4
(x+3)/5-((2*x-9)/4) = 0
(x+3)/5+(-1*(2*x-9))/4 = 0
(4*(x+3))/(4*5)+(-1*5*(2*x-9))/(4*5) = 0
4*(x+3)-1*5*(2*x-9) = 0
57-6*x = 0
(57-6*x)/(4*5) = 0
(57-6*x)/(4*5) = 0 // * 4*5
57-6*x = 0
57-6*x = 0 // - 57
-6*x = -57 // : -6
x = -57/(-6)
x = 19/2
x = 19/2
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