$$\frac{2x+9}{8}=\frac{7}{3}$$
$x = \frac{29}{6} = 4\frac{5}{6} \approx 4.833333333$
$$2x+9=\frac{7}{3}\times 8$$
$$2x+9=\frac{7\times 8}{3}$$
$$2x+9=\frac{56}{3}$$
$$2x=\frac{56}{3}-9$$
$$2x=\frac{56}{3}-\frac{27}{3}$$
$$2x=\frac{56-27}{3}$$
$$2x=\frac{29}{3}$$
$$x=\frac{\frac{29}{3}}{2}$$
$$x=\frac{29}{3\times 2}$$
$$x=\frac{29}{6}$$
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