$$\frac{3-6x}{7^{2}}+5=35.2$$
$x = -\frac{3692}{15} = -246\frac{2}{15} \approx -246.133333333$
$$\frac{3-6x}{49}+5=35.2$$
$$\frac{3}{49}-\frac{6}{49}x+5=35.2$$
$$\frac{3}{49}-\frac{6}{49}x+\frac{245}{49}=35.2$$
$$\frac{3+245}{49}-\frac{6}{49}x=35.2$$
$$\frac{248}{49}-\frac{6}{49}x=35.2$$
$$-\frac{6}{49}x=35.2-\frac{248}{49}$$
$$-\frac{6}{49}x=\frac{176}{5}-\frac{248}{49}$$
$$-\frac{6}{49}x=\frac{8624}{245}-\frac{1240}{245}$$
$$-\frac{6}{49}x=\frac{8624-1240}{245}$$
$$-\frac{6}{49}x=\frac{7384}{245}$$
$$x=\frac{7384}{245}\left(-\frac{49}{6}\right)$$
$$x=\frac{7384\left(-49\right)}{245\times 6}$$
$$x=\frac{-361816}{1470}$$
$$x=-\frac{3692}{15}$$
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