Question

Solve for x . plz find it.​

Answer 1

SOLLUTION

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$\frac{x + 3}{x + 4} = \frac{x + 5}{x + 8} \\ \\ \\ by \: cross \: multiplication \\ (x + 3)(x + 8) = (x + 5)(x + 4) \\ \\ = > x(x + 8) + 3(x + 8) = x(x + 4) + 5(x + 4) \\ \\ = > {x}^{2} +8x + 3x + 24 = {x}^{2} + 4x + 5x + 20 \\ \\cancel \: {x \: }^{2} both \: side \\ = > 11x + 24 = 9x + 20 \\ \\ = > 11x - 9 x= 20 - 24 \\ \\ = > 2x = - 4 \\ \\ = > x = \frac{ - 4}{2} \\ \: hence \: \: \: x = - 2$