$$\frac{4x}{9}-2=\frac{3x}{4}-3$$
$x = \frac{36}{11} = 3\frac{3}{11} \approx 3.272727273$
$$4\times 4x-72=9\times 3x-108$$
$$16x-72=9\times 3x-108$$
$$16x-72=27x-108$$
$$16x-72-27x=-108$$
$$-11x-72=-108$$
$$-11x=-108+72$$
$$-11x=-36$$
$$x=\frac{-36}{-11}$$
$$x=\frac{36}{11}$$
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