$$2x- \frac{ 5x-6 }{ 4 } + \frac{ 1 }{ 3 } (x-5)=-5x$$
$x=\frac{2}{73}\approx 0.02739726$
$$24x-3\left(5x-6\right)+4\left(x-5\right)=-60x$$
$$24x-15x+18+4\left(x-5\right)=-60x$$
$$9x+18+4\left(x-5\right)=-60x$$
$$9x+18+4x-20=-60x$$
$$13x+18-20=-60x$$
$$13x-2=-60x$$
$$13x-2+60x=0$$
$$73x-2=0$$
$$73x=2$$
$$x=\frac{2}{73}$$
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