$$5 ( 2 x + 1 ) = 3 ( x - 3 ) - 4 ( x + 2 )$$
$x=-2$
$$10x+5=3\left(x-3\right)-4\left(x+2\right)$$
$$10x+5=3x-9-4\left(x+2\right)$$
$$10x+5=3x-9-4x-8$$
$$10x+5=-x-9-8$$
$$10x+5=-x-17$$
$$10x+5+x=-17$$
$$11x+5=-17$$
$$11x=-17-5$$
$$11x=-22$$
$$x=\frac{-22}{11}$$
$$x=-2$$
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