Answer
\[17x-15\].
Work Step by Step
Consider the expression\[5\left( 2x-3 \right)+7x\].
Simplified it as follows:
First apply the distributive law and get,
\[5\left( 2x-3 \right)+7x=10x-15+7x\]
Add the like terms,
\[\begin{align}
& 5\left( 2x-3 \right)+7x=10x-15+7x \\
& =17x-15
\end{align}\]
Hence, the given algebraic expression simplified to\[17x-15\].