$$\left. \begin{array} { l } { 5 - 3 ( 5 x + 2 ) = 4 ( 7 x - 3 x ) + 1 } \end{array} \right.$$
$x=-\frac{2}{31}\approx -0.064516129$
$$5-15x-6=4\left(7x-3x\right)+1$$
$$-1-15x=4\left(7x-3x\right)+1$$
$$-1-15x=4\times 4x+1$$
$$-1-15x=16x+1$$
$$-1-15x-16x=1$$
$$-1-31x=1$$
$$-31x=1+1$$
$$-31x=2$$
$$x=\frac{2}{-31}$$
$$x=-\frac{2}{31}$$
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