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nhanh đấy

nice

????: x = \(\dfrac{10}{3}\) \(\Rightarrow\) x = 5 !!!!!!!!!!!

\(\dfrac{x-2}{x-1}=\dfrac{x+4}{x+7}\)

⇔ \(\dfrac{\left(x-2\right)\left(x+7\right)}{\left(x-1\right)\left(x+7\right)}=\dfrac{\left(x+4\right)\left(x-1\right)}{\left(x+7\right)\left(x-1\right)}\)

⇔ (x - 2)(x + 7) = (x + 4)(x - 1)

⇔ x² + 7x - 2x - 14 = x² - x + 4x - 4

⇔ x² - x² + 7x - 2x + x - 4x = 14 - 4

⇔ 2x = 10

⇔ x = 10/2 = 5