Answer :

[tex]\dfrac{2}{3}(x+13)=22\\ 2(x+13)=66\\ 2x+26=66\\ 2x=40\\ x=20[/tex]
[tex]\frac { 2 }{ 3 } \left( x+13 \right) =22\\ \\ \frac { 3 }{ 2 } \cdot \frac { 2 }{ 3 } \left( x+13 \right) =22\cdot \frac { 3 }{ 2 }[/tex]

[tex]\\ \\ x+13=\frac { 66 }{ 2 } \\ \\ x+13=33\\ \\ x=33-13\\ \\ x=20[/tex]