Question

Simplify : $x-[x-\overline{y+x}-\{x-(x-\overline{y-x})\left\}\right]$.

Answer 1

$x-[x-\overline{y+x}-\{x-(x-\overline{y-x})\left\}\right]$

= $x-[x-y-x-\{x-(x-y+x)\left\}\right]$

= $x-[x-x-y-\{x-x+y-x\left\}\right]$

= $x-[-y-\{y-x\left\}\right]$

= $x-[-y-y+x]$

= $x-[-2y+x]$

= $x+2y-x$

= $2y$