Solve the following equation for $x$.

$$ \frac { 1 }{ 2 } \left( \frac { 3 }{ 2 } x+22 \right) -6x=\frac { 3 }{ 4 } x+\frac { 2 }{ 3 } $$

Do not include $x$ when you give your solution, just enter the value. If you are entering a fraction as your answer, use "/" to write your answer. For example, the fraction $\frac { 3 }{ 2 }$ can be written as $3/2$.