Question

Solve the following linear equation :
$\frac{2}{x+1}=4-\frac{x}{x+1},(x\ne -1)$

Answer 1

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

$\Rightarrow \frac{2}{x+1}+\frac{x}{x+1}=4$

$\Rightarrow x+2=4(x+1)$

$\Rightarrow x+2=4x+4$

$\Rightarrow 3x=-2\Rightarrow x=\frac{-2}{3}$.