$$5x+ \frac{ 4 }{ 5 } =3x- \frac{ 2 }{ 3 }$$
$x=-\frac{11}{15}\approx -0.733333333$
$$5x+\frac{4}{5}-3x=-\frac{2}{3}$$
$$2x+\frac{4}{5}=-\frac{2}{3}$$
$$2x=-\frac{2}{3}-\frac{4}{5}$$
$$2x=-\frac{10}{15}-\frac{12}{15}$$
$$2x=\frac{-10-12}{15}$$
$$2x=-\frac{22}{15}$$
$$x=\frac{-\frac{22}{15}}{2}$$
$$x=\frac{-22}{15\times 2}$$
$$x=\frac{-22}{30}$$
$$x=-\frac{11}{15}$$
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