Answer
\[-48\].
Work Step by Step
Put \[x=5\]in the given expression and simplify it as follows:
\[\begin{align}
& 6+2{{\left( x-8 \right)}^{3}}=6+2{{\left( 5-8 \right)}^{3}} \\
& =6+2{{\left( -3 \right)}^{3}} \\
& =6+2\left( -27 \right) \\
& =-48
\end{align}\]
Hence, the algebraic expression \[6+2{{\left( x-8 \right)}^{3}}\] evaluated at \[x=5\]gives\[-48\].
