Respuesta :

[tex]\bold{Answer}[/tex]

[tex]\boxed{\bold{X \ = \ 27}}[/tex]

[tex]\bold{Explanation}[/tex]

  • [tex]\bold{Solve: \ \frac{2}{3}x-\frac{1}{9}x+5=20}[/tex]

[tex]\bold{--------------------------}[/tex]

  • [tex]\bold{Subtract \ 5 \ From \ Both \ Sides}[/tex]

[tex]\bold{\frac{2}{3}x-\frac{1}{9}x+5-5=20-5}[/tex]

  • [tex]\bold{Simplify}[/tex]

[tex]\bold{\frac{2}{3}x-\frac{1}{9}x=15}[/tex]

  • [tex]\bold{Multiply \ By \ LCM: \ LCM \ = \ 9}[/tex]

[tex]\bold{\frac{2}{3}x\cdot \:9-\frac{1}{9}x\cdot \:9=15\cdot \:9}[/tex]

  • [tex]\bold{Simplify}[/tex]

[tex]\bold{6x-x=135}[/tex]

[tex]\bold{5x=135}[/tex]

  • [tex]\bold{Divide \ Both \ Sides \ By \ 5}[/tex]

[tex]\bold{\frac{5x}{5}=\frac{135}{5}}[/tex]

  • [tex]\bold{Simplify}[/tex]

[tex]\bold{X \ = \ 27}[/tex]

[tex]\boxed{\bold{Eclipsed}}[/tex]

Answer:

x=27

Step-by-step explanation: