$$(6x-18)/(5x+24)=(12x-3)/(10x+4)$$
$x=0$
$$\left(10x+4\right)\left(6x-18\right)=\left(5x+24\right)\left(12x-3\right)$$
$$60x^{2}-156x-72=\left(5x+24\right)\left(12x-3\right)$$
$$60x^{2}-156x-72=60x^{2}+273x-72$$
$$60x^{2}-156x-72-60x^{2}=273x-72$$
$$-156x-72=273x-72$$
$$-156x-72-273x=-72$$
$$-429x-72=-72$$
$$-429x=-72+72$$
$$-429x=0$$
$$x=0$$
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