5x - 3 4 - 5 - 2x - 2 3

5x+34 5=2(x 2)3 ⇒5x+3 204=2(x 2)3 ⇒5x 174=2(x 2)3 ⇒ 15x 51=8x 16 ⇒ 7x=35 ⇒ x=5 . ...

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Componendo and Dividendo

5x + 3 4 - 5 ...

Question

$\frac{5 x + 3}{4} - 5 = \frac{2 (x - 2)}{3}$

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Solution

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5 x - \frac{3}{4} = 2 x - \frac{2}{3},

\frac{1}{12}

\frac{1}{4}

\frac{1}{36}

(\frac{3}{4} + \frac{- 2}{5}) + \frac{- 7}{10} = \frac{3}{4} + (\frac{- 2}{5} + \frac{- 7}{10})

(\frac{- 7}{11} + \frac{2}{- 5}) + \frac{- 13}{22} = \frac{- 7}{11} + (\frac{2}{- 5} + \frac{- 13}{22})

- 1 + (\frac{- 2}{3} + \frac{- 3}{4}) = (- 1 + \frac{- 2}{3}) + \frac{- 3}{4}

x - 5 = 7

3 x + 18 = 48

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\frac{2}{x + 1} + \frac{3}{2 (x - 2)} = \frac{23}{5 x}, x \neq 0, - 1, 2

5 x + 2 \frac{3}{5} = 9 - \frac{4}{5} x

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