Question 949342
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            The solution by  @Penguin is  INCORRECT.


            I came to bring you a correct solution.



<pre>
8*(8 - 3x)^(3/2) = 27  ------>


(8 - 3x)^(3/2) =  {{{27/8}}}  ---->  raise both sides to the degree of  (2/3)


8 - 3x =  {{{(27/8)^(2/3)}}}


8 - 3x = {{{9/4}}}


8 - {{{9/4}}} = 3x


{{{23/4}}} = 3x


x = {{{23/12}}}.      <U>ANSWER</U>
</pre>

Solved (correctly).