$$3x-\frac{1}{4}=\frac{1}{6}-x$$
$x=\frac{5}{48}\approx 0.104166667$
$$3x-\frac{1}{4}+x=\frac{1}{6}$$
$$4x-\frac{1}{4}=\frac{1}{6}$$
$$4x=\frac{1}{6}+\frac{1}{4}$$
$$4x=\frac{2}{12}+\frac{3}{12}$$
$$4x=\frac{2+3}{12}$$
$$4x=\frac{5}{12}$$
$$x=\frac{\frac{5}{12}}{4}$$
$$x=\frac{5}{12\times 4}$$
$$x=\frac{5}{48}$$
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