$$\frac{10-4x}{|x+1|}<2t$$
$\left\{\begin{matrix}x<-\frac{t+5}{t-2}\text{, }&t>2\\x>\frac{5-t}{t+2}\text{, }&t>-2\end{matrix}\right.$
$t>\frac{5-2x}{|x+1|}$
$x\neq -1$