$$14 ( x - 2 ) + 3 ( x + 5 ) = 3 ( x + 8 ) + 5$$
$x=3$
$$14x-28+3\left(x+5\right)=3\left(x+8\right)+5$$
$$14x-28+3x+15=3\left(x+8\right)+5$$
$$17x-28+15=3\left(x+8\right)+5$$
$$17x-13=3\left(x+8\right)+5$$
$$17x-13=3x+24+5$$
$$17x-13=3x+29$$
$$17x-13-3x=29$$
$$14x-13=29$$
$$14x=29+13$$
$$14x=42$$
$$x=\frac{42}{14}$$
$$x=3$$
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