$$3(2x-6)=3-4(3-x)$$
$x = \frac{9}{2} = 4\frac{1}{2} = 4.5$
$$6x-18=3-4\left(3-x\right)$$
$$6x-18=3-12+4x$$
$$6x-18=-9+4x$$
$$6x-18-4x=-9$$
$$2x-18=-9$$
$$2x=-9+18$$
$$2x=9$$
$$x=\frac{9}{2}$$
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