$$\frac{5x-1}{3}+\frac{2x+1}{2}=14$$
$x = \frac{83}{16} = 5\frac{3}{16} = 5.1875$
$$2\left(5x-1\right)+3\left(2x+1\right)=84$$
$$10x-2+3\left(2x+1\right)=84$$
$$10x-2+6x+3=84$$
$$16x-2+3=84$$
$$16x+1=84$$
$$16x=84-1$$
$$16x=83$$
$$x=\frac{83}{16}$$
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