Question

Solve for x :
1/x+1 + 2/x+2 = 4/x+4
x ≠ 1, -2, -4

Answer 1

Answer:

$x = - 1$

Step-by-step explanation:

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