$$- \frac { 2 } { 5 } ( 2 \frac { 5 } { 3 } x - \frac { 6 } { 7 } ) = - 4 ( \frac { x } { 2 } + 6 )$$
$x = -\frac{639}{14} = -45\frac{9}{14} \approx -45.642857143$
$$-84\left(\frac{2\times 3+5}{3}x-\frac{6}{7}\right)=-840\left(\frac{x}{2}+6\right)$$
$$-84\left(\frac{6+5}{3}x-\frac{6}{7}\right)=-840\left(\frac{x}{2}+6\right)$$
$$-84\left(\frac{11}{3}x-\frac{6}{7}\right)=-840\left(\frac{x}{2}+6\right)$$
$$-84\times \frac{11}{3}x-84\left(-\frac{6}{7}\right)=-840\left(\frac{x}{2}+6\right)$$
$$\frac{-84\times 11}{3}x-84\left(-\frac{6}{7}\right)=-840\left(\frac{x}{2}+6\right)$$
$$\frac{-924}{3}x-84\left(-\frac{6}{7}\right)=-840\left(\frac{x}{2}+6\right)$$
$$-308x-84\left(-\frac{6}{7}\right)=-840\left(\frac{x}{2}+6\right)$$
$$-308x+\frac{-84\left(-6\right)}{7}=-840\left(\frac{x}{2}+6\right)$$
$$-308x+\frac{504}{7}=-840\left(\frac{x}{2}+6\right)$$
$$-308x+72=-840\left(\frac{x}{2}+6\right)$$
$$-308x+72=-840\times \frac{x}{2}-5040$$
$$-308x+72=-420x-5040$$
$$-308x+72+420x=-5040$$
$$112x+72=-5040$$
$$112x=-5040-72$$
$$112x=-5112$$
$$x=\frac{-5112}{112}$$
$$x=-\frac{639}{14}$$
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