Question

(x+6)/x=(x+5)/(x+2)​

Answer 1

Answer:

the answer for the given question is 3x+12 andx=4

Answer 2

$\huge\mathfrak\purple{Answer~~~↓~↓}$

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$\large\bf{{\underline{\underline{To~find~:}}}}$

The value of ‛x’ in the equation :

$\sf \frac{x + 6}{x} = \frac{x + 5}{x + 2 } \\ \\ \sf By \: cross \: multiplication, \: we \: get : \\ \\ \sf (x + 6)(x + 2) = x(x + 5) \\ \sf {x}^{2} + 2x + 6x + 12 = {x}^{2} + 5x \\ \sf {x}^{2} + 8x + 12 = {x}^{2} + 5x \\ \sf {x}^{2} - {x}^{2} + 8x - 5x = - 12 \\ \sf 3x = - 12 \\ \sf x = \frac{ - 12}{3} \\ \sf x = - 4$

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$\huge\bold\purple{Hope~it~helps..!!}$