Question

1/x+1 + 2/x+2 = 4/x+4 , x not equal to -1,-2,-3

Answer 1

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