Answer
\[15\].
Work Step by Step
Put \[x=-2\]in the given expression and simplify it as follows:
\[\begin{align}
& 7{{x}^{2}}+4x-5=7{{\left( -2 \right)}^{2}}+4\left( -2 \right)-5 \\
& =28-8-5 \\
& =15
\end{align}\]
Hence, the algebraic expression \[7{{x}^{2}}+4x-5\] evaluated at \[x=-2\]gives\[15\].
