$$\left. \begin{array} { l } { \frac { x } { \sqrt { 3 } } - 1 = x \sqrt { 3 } \right.$$
$x=-\frac{\sqrt{3}}{2}\approx -0.866025404$
$$\frac{x\sqrt{3}}{\left(\sqrt{3}\right)^{2}}-1=x\sqrt{3}$$
$$\frac{x\sqrt{3}}{3}-1=x\sqrt{3}$$
$$\frac{x\sqrt{3}}{3}-1-x\sqrt{3}=0$$
$$-\frac{2}{3}x\sqrt{3}-1=0$$
$$-\frac{2}{3}x\sqrt{3}=1$$
$$\left(-\frac{2\sqrt{3}}{3}\right)x=1$$
$$\frac{\left(-\frac{2\sqrt{3}}{3}\right)x}{-\frac{2\sqrt{3}}{3}}=\frac{1}{-\frac{2\sqrt{3}}{3}}$$
$$x=\frac{1}{-\frac{2\sqrt{3}}{3}}$$
$$x=-\frac{\sqrt{3}}{2}$$
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