Chapter 8 - Coordinate Geometry and Linear Systems - 8.1 - Cartesian Coordinate System - Problem Set 8.1 - Page 335: 24

$x=\dfrac{7}{2}y+\dfrac{5}{2}$

Using the properties of equality, in terms of $ x ,$ the given expression, $ 2x-7y=5 ,$ is equivalent to \begin{array}{l}\require{cancel} 2x=7y+5 \\\\ x=\dfrac{7}{2}y+\dfrac{5}{2} .\end{array}