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Answer:
D. 2x - 6 = 5x - 45
Step-by-step explanation:
To make the linear equation, we can multiply the given equation by 5(x-3).
[tex]\dfrac{x-9}{x-3}=\dfrac{2}{5}\\\\\dfrac{(x-9)(5)(x-3)}{(x-3)}=\dfrac{2(5)(x-3)}{5}\\\\5(x-9)=2(x-3)\qquad\text{looks like }\textit{cross multiply}\\\\5x-45=2x-6\qquad\text{use the distributive property; matches D.}[/tex]
