Hey there!
In order to simplify this equation, we have to work it out
So, [tex]3\frac{2}{3} =[/tex] [tex]3(3) +2[/tex] [tex]=[/tex] [tex]3(3) =[/tex] [tex]9[/tex] [tex]9 +2[/tex] [tex]=[/tex] → [tex]\frac{11}{3}[/tex]
Our equation is changed to: [tex]\frac{11}{3} x[/tex] [tex]= 22[/tex]
Now, that we have that portion out of the way, let's actually solve the equation, shall we?
Firstly, [tex]multiply[/tex] by [tex]\frac{3}{11}[/tex] on each of your sides that we're working with!
[tex]\frac{3}{11}[/tex] [tex](\frac{11}{3}x)[/tex] [tex]=[/tex] [tex]\frac{3}{11}[/tex] [tex](22)[/tex]
Cancel out: [tex]\frac{3}{11}[/tex] [tex](\frac{11}{3} x)[/tex]
Keep: [tex]\frac{3}{11}[/tex] [tex](22)[/tex] because it gives you the result of your answer
[tex]Answer:[/tex] [tex]\boxed {x = 6}[/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]