proof that x/x+3=1-3/x+3 for each real number violates -3

proof that x/x+3=1-3/x+3 for each real number violates -3

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i've tried to factor but didn't got a solution :/
x(x+3)/x+3=x^2+3x/x+3 dunno what else to do x)

On the right of the equal sign, is the -3 to be divided only by x or the quantity x+3?

Same goes for the x on left side is it x/x+3 or x/(x+3)

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