Question

2 - 1 = 4 - 3.
——- ——. ——. ——-
X+2. X+1. X+4. X+3

Answer 1

Step-by-step explanation:

$\frac{2}{x + 2} - \frac{1}{x + 1} = \frac{4}{x + 4} - \frac{3}{x + 3}$

$\frac{2x + 2 - x - 2}{ {x}^{2} +3x + 2 } = \frac{4x + 12 - 3x - 12}{ {x}^{2} + 7x + 12 }$

$\frac{x}{ {x}^{2} + 3x + 2 } = \frac{x}{ {x}^{2} + 7x + 12 }$

${x}^{2} + 3x + 2 = {x}^{2} + 7x + 12$

$7x - 3x = 2 - 12$

$4x = - 10$

$x = \frac{5}{2}$