$$2x-\frac{1}{3}=\frac{1}{5}-x$$
$x=\frac{8}{45}\approx 0.177777778$
$$2x-\frac{1}{3}+x=\frac{1}{5}$$
$$3x-\frac{1}{3}=\frac{1}{5}$$
$$3x=\frac{1}{5}+\frac{1}{3}$$
$$3x=\frac{3}{15}+\frac{5}{15}$$
$$3x=\frac{3+5}{15}$$
$$3x=\frac{8}{15}$$
$$x=\frac{\frac{8}{15}}{3}$$
$$x=\frac{8}{15\times 3}$$
$$x=\frac{8}{45}$$
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