Chapter 10 - Exponents and Radicals - 10.2 Rational Numbers as Exponents - 10.2 Exercise Set - Page 641: 107

$-2\le x \le \dfrac{3}{5}$

Using the properties of inequality, then \begin{array}{l}\require{cancel} -3\le 5x+7 \le 10 \\\\ -3-7\le 5x+7-7 \le 10-7 \\\\ -10\le 5x \le 3 \\\\ -\dfrac{10}{5}\le \dfrac{5x}{5} \le \dfrac{3}{5} \\\\ -2\le x \le \dfrac{3}{5} .\end{array}