We know the formula for mean is given by
[tex]\text{Mean}=\frac{\text{Sum of all observations}}{\text{Total number of observations}}[/tex]
Using the above mentioned formula, the mean of 27 and 5 is given by
[tex]\text{Mean}=\frac{27+5}{2} \\
\\
\text{Mean}=\frac{32}{2}\\
\\
\text{Mean}=16[/tex]
Similarly, mean of 8 and x is given by
[tex]\frac{8+x}{2}[/tex]
Now, we have been given that 8 and x have the same mean as 27 and 5. Therefore, we have
[tex]\frac{8+x}{2} =16\\
\\
8+x=32\\
\\
x=24[/tex]
Therefore, the x value is 24
