$$16x- \frac{ 5 }{ 2 } =3x+ \frac{ 7 }{ 11 }$$
$x=\frac{69}{286}\approx 0.241258741$
$$16x-\frac{5}{2}-3x=\frac{7}{11}$$
$$13x-\frac{5}{2}=\frac{7}{11}$$
$$13x=\frac{7}{11}+\frac{5}{2}$$
$$13x=\frac{14}{22}+\frac{55}{22}$$
$$13x=\frac{14+55}{22}$$
$$13x=\frac{69}{22}$$
$$x=\frac{\frac{69}{22}}{13}$$
$$x=\frac{69}{22\times 13}$$
$$x=\frac{69}{286}$$
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