[tex]\begin{gathered} g(x)=3x-1 \\ g(x+2)=3(x+2)-1 \\ g(x+2)=3x+6-1 \\ g(x+2)=3x-5 \\ g(x+2)=6 \\ 3x-5=6 \\ \text{solve for x:} \\ \text{Add 5 to both sides:} \\ 3x-5+5=6+5 \\ 3x=11 \\ \text{divide both sides by 3:} \\ \frac{3x}{3}=\frac{11}{3} \\ x=\frac{11}{3} \end{gathered}[/tex]
