$$4 x = \frac { 5 } { 6 } ( 3 x - 5 )$$
$x = -\frac{25}{9} = -2\frac{7}{9} \approx -2.777777778$
$$4x=\frac{5}{6}\times 3x+\frac{5}{6}\left(-5\right)$$
$$4x=\frac{5\times 3}{6}x+\frac{5}{6}\left(-5\right)$$
$$4x=\frac{15}{6}x+\frac{5}{6}\left(-5\right)$$
$$4x=\frac{5}{2}x+\frac{5}{6}\left(-5\right)$$
$$4x=\frac{5}{2}x+\frac{5\left(-5\right)}{6}$$
$$4x=\frac{5}{2}x+\frac{-25}{6}$$
$$4x=\frac{5}{2}x-\frac{25}{6}$$
$$4x-\frac{5}{2}x=-\frac{25}{6}$$
$$\frac{3}{2}x=-\frac{25}{6}$$
$$x=-\frac{25}{6}\times \frac{2}{3}$$
$$x=\frac{-25\times 2}{6\times 3}$$
$$x=\frac{-50}{18}$$
$$x=-\frac{25}{9}$$
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