$$2x+3=1+z+4$$
$x=\frac{z+2}{2}$
$$2x+3=5+z$$
$$2x=5+z-3$$
$$2x=2+z$$
$$2x=z+2$$
$$\frac{2x}{2}=\frac{z+2}{2}$$
$$x=\frac{z+2}{2}$$
$$x=\frac{z}{2}+1$$
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$z=2\left(x-1\right)$
$$5+z=2x+3$$
$$z=2x+3-5$$
$$z=2x-2$$