Chapter 2 - Section 2.5 - Equations of Lines and Linear Models - 2.5 Exercises - Page 229: 64

$x=\displaystyle -\frac{1}{2}$

We need to solve: $3(2x+1)-2(x-2)=5$ We rearrange the equation to have $0$ on one side: $3(2x+1)-2(x-2)-5=0$ Now we graph and find the $x$-intercept (when $y=0$): $x=\displaystyle -\frac{1}{2}$