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6x+9/3 =2x + 3
we write what you mean as:
(6x+9) / 3 =2x + 3
that is
(1/3)(6x+9)
NOW you see that is distributive
(1/3)(6x) + (1/3)(9)
https://www.smartickmethod.com/blog/math/operations-and-algebraic-thinking/mutiplication/distributive-property-of-multiplication/