\(9+\frac{x}{13}-x=\frac{5}{6}\)
\(\Leftrightarrow\frac{x}{13}-x=\frac{5}{6}-9\)
\(\Leftrightarrow x\left(\frac{1}{13}-1\right)=\frac{5}{6}-\frac{54}{6}\)
\(\Leftrightarrow\frac{-12}{13}x=\frac{-50}{6}\)
\(\Leftrightarrow x=\frac{-50}{6}\div\frac{-12}{13}\)
\(\Leftrightarrow x=\frac{50}{6}\times\frac{13}{12}\)
\(\Leftrightarrow x=\frac{650}{72}=\frac{325}{36}\)
\(9+\frac{x}{13}-x=\frac{5}{6}\)
\(\Rightarrow9+\frac{x}{13}-\frac{13x}{13}=\frac{5}{6}\)
\(\Rightarrow9+\frac{x-13x}{13}=\frac{5}{6}\)
\(\Rightarrow\frac{x-13x}{13}=\frac{5}{6}-9\)
\(\Rightarrow\frac{x-13x}{13}=-\frac{49}{6}\)
\(\Rightarrow x-13x=-\frac{49}{6}\cdot13=-\frac{637}{6}\)
\(\Rightarrow-12x=-\frac{637}{6}\)
\(\Rightarrow x=-\frac{637}{6}:(-12)=\frac{637}{72}\)
\(\frac{9+x}{13-x}=\frac{5}{6}\)
\(\Rightarrow\text{ }6\left(9+x\right)=5\left(13-x\right)\)
\(\Rightarrow\text{ }54+6x=65-5x\)
\(\Rightarrow\text{ }54-65=-5x-6x\)
\(\Rightarrow\text{ }-11=-11x\)
\(\Rightarrow\text{ }x=-11\text{ : }\left(-11\right)\)
\(\Rightarrow\text{ }x=1\)
\(9+\frac{x}{13}-x=\frac{5}{6}\)
\(\frac{x}{13}-x=\frac{5}{6}-9\)
\(x\cdot\frac{1}{13}-x=\frac{5}{6}-\frac{54}{6}\)
\(x\cdot\frac{1}{13}-x\cdot\frac{13}{13}=-\frac{49}{6}\)
\(x\left(\frac{1}{13}-\frac{13}{13}\right)=-\frac{49}{6}\)
\(x\cdot\frac{-12}{13}=-\frac{49}{6}\)
\(x=\frac{-49}{6}\text{ : }\frac{-12}{13}\)
\(x=\frac{-49}{6}\cdot\frac{13}{-12}\)
\(x=\frac{637}{72}\)
9+x13−x=569+𝑥13−𝑥=56
⇔x13−x=56−9⇔𝑥13−𝑥=56−9
⇔x(113−1)=56−546⇔𝑥(113−1)=56−546
⇔−1213x=−506⇔−1213𝑥=−506
⇔x=−506÷−1213⇔𝑥=−506÷−1213
⇔x=506×1312⇔𝑥=506×1312
⇔x=65072=32536
