$$\left. \begin{array} { l } { \quad x - ( 3 x - \frac { 2 x - 5 } { 10 } ) = \frac { 2 x - 57 } { 6 } - \frac { 5 } { 3 } } \end{array} \right.$$
$x=5$
$$30x-30\left(3x-\frac{2x-5}{10}\right)=5\left(2x-57\right)-50$$
$$30x-30\left(3x-\frac{2x-5}{10}\right)=10x-285-50$$
$$30x-30\left(3x-\frac{2x-5}{10}\right)=10x-335$$
$$30x-30\left(3x-\left(\frac{1}{5}x-\frac{1}{2}\right)\right)=10x-335$$
$$30x-30\left(3x-\frac{1}{5}x-\left(-\frac{1}{2}\right)\right)=10x-335$$
$$30x-30\left(3x-\frac{1}{5}x+\frac{1}{2}\right)=10x-335$$
$$30x-30\left(\frac{14}{5}x+\frac{1}{2}\right)=10x-335$$
$$30x-30\times \frac{14}{5}x-30\times \frac{1}{2}=10x-335$$
$$30x+\frac{-30\times 14}{5}x-30\times \frac{1}{2}=10x-335$$
$$30x+\frac{-420}{5}x-30\times \frac{1}{2}=10x-335$$
$$30x-84x-30\times \frac{1}{2}=10x-335$$
$$30x-84x+\frac{-30}{2}=10x-335$$
$$30x-84x-15=10x-335$$
$$-54x-15=10x-335$$
$$-54x-15-10x=-335$$
$$-64x-15=-335$$
$$-64x=-335+15$$
$$-64x=-320$$
$$x=\frac{-320}{-64}$$
$$x=5$$
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