$$2(x-3)+5 < 5-x$$
$x<2$
$$2x-6+5<5-x$$
$$2x-1<5-x$$
$$2x-1+x<5$$
$$3x-1<5$$
$$3x<5+1$$
$$3x<6$$
$$x<\frac{6}{3}$$
$$x<2$$
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