$$\frac { 2 x - 1 } { 3 } - \frac { 6 x - 2 } { 5 } = \frac { 1 } { 3 }$$
$x=-\frac{1}{2}=-0.5$
$$5\left(2x-1\right)-3\left(6x-2\right)=5$$
$$10x-5-3\left(6x-2\right)=5$$
$$10x-5-18x+6=5$$
$$-8x-5+6=5$$
$$-8x+1=5$$
$$-8x=5-1$$
$$-8x=4$$
$$x=\frac{4}{-8}$$
$$x=-\frac{1}{2}$$
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