$$7(2x-3)=4 \sqrt{ 7 }$$
$x=\frac{2\sqrt{7}}{7}+\frac{3}{2}\approx 2.255928946$
$$14x-21=4\sqrt{7}$$
$$14x=4\sqrt{7}+21$$
$$\frac{14x}{14}=\frac{4\sqrt{7}+21}{14}$$
$$x=\frac{4\sqrt{7}+21}{14}$$
$$x=\frac{2\sqrt{7}}{7}+\frac{3}{2}$$
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