Chapter 2 - Equations, Inequalities, and Problem Solving - 2.2 Using the Principles Together - 2.2 Exercise Set - Page 94: 48

$x=0$

By combining like terms and using the properties of equality, the solution to the given equation, $ 5+4x-7=4x-2-x $, is \begin{array}{l} 4x-4x+x=-2-5+7 \\\\ x=0 .\end{array} CHECKING: \begin{array}{l} 5+4(0)-7=4(0)-2-0 \\\\ 5+0-7=0-2-0 \\\\ -2=-2 \text{ (TRUE)} .\end{array} Hence, the solution is $ x=0 $.