$$2x+3(x-2)+ \frac{ 1 }{ 3 } = \frac{ 2 }{ 7 }$$
$x = \frac{25}{21} = 1\frac{4}{21} \approx 1.19047619$
$$2x+3x-6+\frac{1}{3}=\frac{2}{7}$$
$$5x-6+\frac{1}{3}=\frac{2}{7}$$
$$5x-\frac{18}{3}+\frac{1}{3}=\frac{2}{7}$$
$$5x+\frac{-18+1}{3}=\frac{2}{7}$$
$$5x-\frac{17}{3}=\frac{2}{7}$$
$$5x=\frac{2}{7}+\frac{17}{3}$$
$$5x=\frac{6}{21}+\frac{119}{21}$$
$$5x=\frac{6+119}{21}$$
$$5x=\frac{125}{21}$$
$$x=\frac{\frac{125}{21}}{5}$$
$$x=\frac{125}{21\times 5}$$
$$x=\frac{125}{105}$$
$$x=\frac{25}{21}$$
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