[tex]\dfrac{2}{3}x-\dfrac{1}{9}x+5=20\qquad\text{multiply bot sides by 9}\\\\\not9^3\cdot\dfrac{2}{\not3_1}x-\not9^1\cdot\dfrac{1}{\not9_1}x+9\cdot5=9\cdot20\\\\3\cdot2x-1x+45=180\qquad\text{subtract 45 from both sides}\\\\6x-x=135\\\\5x=135\qquad\text{divide both sides by 5}\\\\\boxed{x=27}[/tex]
