$$2(z-4)=\frac{1}{2}(2z+5)$$
$z = \frac{21}{2} = 10\frac{1}{2} = 10.5$
$$2z-8=\frac{1}{2}\left(2z+5\right)$$
$$2z-8=\frac{1}{2}\times 2z+\frac{1}{2}\times 5$$
$$2z-8=z+\frac{1}{2}\times 5$$
$$2z-8=z+\frac{5}{2}$$
$$2z-8-z=\frac{5}{2}$$
$$z-8=\frac{5}{2}$$
$$z=\frac{5}{2}+8$$
$$z=\frac{5}{2}+\frac{16}{2}$$
$$z=\frac{5+16}{2}$$
$$z=\frac{21}{2}$$
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