$$2x- \frac{ 5x-6x }{ 4 } + \frac{ 1 }{ 3 } (x-5)=-5x$$
$x=\frac{20}{91}\approx 0.21978022$
$$24x-3\left(5x-6x\right)+4\left(x-5\right)=-60x$$
$$24x-3\left(-1\right)x+4\left(x-5\right)=-60x$$
$$24x+3x+4\left(x-5\right)=-60x$$
$$27x+4\left(x-5\right)=-60x$$
$$27x+4x-20=-60x$$
$$31x-20=-60x$$
$$31x-20+60x=0$$
$$91x-20=0$$
$$91x=20$$
$$x=\frac{20}{91}$$
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