Question

$solve \: the \: x \: \: \frac{3x + 5}{4x + 2} = \frac{3x + 4}{4x + 7}$
Please answer this question.​

Answer 1

$\sf{\huge{\underline{\green{Answer :-}}}}$

$\dfrac{3x + 5}{4x + 2} = \dfrac{3x + 4}{4x + 7}$

By cross multiplication

➝ (3x+5) (4x+7) = (3x+4) (4x+2)

➝ $\cancel{12x² }$ + 21x + 20x + 35 = $\cancel{12x² }$ + 6x + 16x + 8

➝ 21x + 20x + 35 = 6x + 16x + 8

➝ 41x + 35 = 22x + 8

➝ 41x - 22x = 8 - 35

➝ 19 x = -27

➝ x = $\dfrac{-27}{19}$

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