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Question Number 49078 by ggny last updated on 02/Dec/18

Answered by hknkrc46 last updated on 02/Dec/18

  ((2x−1)/4)=((3x+5)/9) ⇒9(2x−1)=4(3x+5)  18x−9=12x+20 ⇒ 6x=29 ⇒ x=((29)/6)

$$ \\ $$$$\frac{\mathrm{2}{x}−\mathrm{1}}{\mathrm{4}}=\frac{\mathrm{3}{x}+\mathrm{5}}{\mathrm{9}}\:\Rightarrow\mathrm{9}\left(\mathrm{2}{x}−\mathrm{1}\right)=\mathrm{4}\left(\mathrm{3}{x}+\mathrm{5}\right) \\ $$$$\mathrm{18}{x}−\mathrm{9}=\mathrm{12}{x}+\mathrm{20}\:\Rightarrow\:\mathrm{6}{x}=\mathrm{29}\:\Rightarrow\:{x}=\frac{\mathrm{29}}{\mathrm{6}} \\ $$

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