Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.4 - Inequalities - Problem Set 4.4 - Page 169: 48

$x\gt\dfrac{5}{3}$

Using the properties of inequalities, the solution to the given inequality, $ 7\lt6x-3 ,$ is \begin{array}{l}\require{cancel} 7+3\lt6x \\\\ 10\lt6x \\\\ \dfrac{10}{6}\lt x \\\\ \dfrac{\cancel{2}\cdot5}{\cancel{2}\cdot3}\lt x \\\\ \dfrac{5}{3}\lt x \\\\ x\gt\dfrac{5}{3} .\end{array}