$$x3-x2-6x=0$$
$x=\frac{x_{3}-x_{2}}{6}$
$$-x_{2}-6x=-x_{3}$$
$$-6x=-x_{3}+x_{2}$$
$$-6x=x_{2}-x_{3}$$
$$\frac{-6x}{-6}=\frac{x_{2}-x_{3}}{-6}$$
$$x=\frac{x_{2}-x_{3}}{-6}$$
$$x=\frac{x_{3}-x_{2}}{6}$$
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$x_{2}=x_{3}-6x$
$$-x_{2}=-x_{3}+6x$$
$$-x_{2}=6x-x_{3}$$
$$\frac{-x_{2}}{-1}=\frac{6x-x_{3}}{-1}$$
$$x_{2}=\frac{6x-x_{3}}{-1}$$
$$x_{2}=x_{3}-6x$$
