$$12-(5x-9)=4x+3$$
$x=2$
$$12-5x-\left(-9\right)=4x+3$$
$$12-5x+9=4x+3$$
$$21-5x=4x+3$$
$$21-5x-4x=3$$
$$21-9x=3$$
$$-9x=3-21$$
$$-9x=-18$$
$$x=\frac{-18}{-9}$$
$$x=2$$
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