$$2(x-3)+4x=3(x+5)$$
$x=7$
$$2x-6+4x=3\left(x+5\right)$$
$$6x-6=3\left(x+5\right)$$
$$6x-6=3x+15$$
$$6x-6-3x=15$$
$$3x-6=15$$
$$3x=15+6$$
$$3x=21$$
$$x=\frac{21}{3}$$
$$x=7$$
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