$$\frac{3x-2}{4}+x=\frac{2}{3}-(\frac{2x+3}{3})$$
$x=\frac{2}{29}\approx 0.068965517$
$$3\left(3x-2\right)+12x=8-4\left(2x+3\right)$$
$$9x-6+12x=8-4\left(2x+3\right)$$
$$21x-6=8-4\left(2x+3\right)$$
$$21x-6=8-8x-12$$
$$21x-6=-4-8x$$
$$21x-6+8x=-4$$
$$29x-6=-4$$
$$29x=-4+6$$
$$29x=2$$
$$x=\frac{2}{29}$$
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