Chapter 2 - Equations, Inequalities, and Problem Solving - 2.2 Using the Principles Together - 2.2 Exercise Set - Page 95: 109

$x=\dfrac{2}{3}$

Using the order of operations and the properties of equality, the solution to the given equation, $ 2x(x+5)-3(x^2+2x-1)=9-5x-x^2 $, is \begin{array}{l} 2x^2+10x-3x^2-6x+5x+x^2=9-3 \\\\ (2x^2-3x^2+x^2)+(10x-6x+5x)=9-3 \\\\ 9x=6 \\\\ x=\dfrac{6}{9} \\\\ x=\dfrac{2}{3} .\end{array}