Question

(×+1)/(×+2)=(×+5)/(×+4)

Answer 1

Hey Mate ✌

Here's your answer,

==> (x + 1)/(x + 2) = (x + 5)/(x + 4)

==> (x + 1)(x + 4) = (x + 2)(x + 5)

==> x² + 4x + x + 4 = x² + 5x + 2x + 10

==> x² - x² + 5x - 5x - 2x + 4 - 10

==> -2x = 6

==> x = -3

is the required answer.

⭐ Hope it helps you ^_^ ⭐

Answer 2

$\frac{x + 1}{x + 2} = \frac{x + 5}{x + 4} \\ \\ {x}^{2} + 5x + 4 = {x}^{2} + 7x + 10 \\ \\ 5x + 4 = 7x + 10 \\ \\ 2x = - 6 \\ \\ \bf \: x = - 3$