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x in (-oo:+oo)
(x+3)/5+x/3 = 7 // - 7
(x+3)/5+x/3-7 = 0
(3*(x+3))/(3*5)+(5*x)/(3*5)+(-7*3*5)/(3*5) = 0
3*(x+3)+5*x-7*3*5 = 0
8*x-105+9 = 0
8*x-96 = 0
(8*x-96)/(3*5) = 0
(8*x-96)/(3*5) = 0 // * 3*5
8*x-96 = 0
8*x-96 = 0 // + 96
8*x = 96 // : 8
x = 96/8
x = 12
x = 12
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