$$2x+y-z=5$$
$x=\frac{5+z-y}{2}$
$$2x-z=5-y$$
$$2x=5-y+z$$
$$2x=5+z-y$$
$$\frac{2x}{2}=\frac{5+z-y}{2}$$
$$x=\frac{5+z-y}{2}$$
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$y=5+z-2x$
$$y-z=5-2x$$
$$y=5-2x+z$$
