$$\frac{3x}{2}=\frac{4x}{5}-\frac{1}{6}$$
$x=-\frac{5}{21}\approx -0.238095238$
$$15\times 3x=6\times 4x-5$$
$$45x=6\times 4x-5$$
$$45x=24x-5$$
$$45x-24x=-5$$
$$21x=-5$$
$$x=\frac{-5}{21}$$
$$x=-\frac{5}{21}$$
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