Question

2/3x - 7 = 11 answer is x=27 how do you get that answer

Answer 1

In an  algebra problem, you don't set the answer-goal and say "Go for it!"

There is only one correct answer, so the only appropriate way to go about it is to say "Here is the equation.  Find the solution.?"

Maybe 27 is the solution, and maybe it's not.
We're about to find out.

You said                        2/3 x - 7  =  11

Add  7  to each side:      2/3 x      =  18

Divide each side by  2 :  1/3 x      =  9

Multiply each side by  3 :     x      =  27 .

So yes, the correct solution is 27.  And that's how to find it.