Answer
$x\lt-\dfrac{17}{3}$
Work Step by Step
Using the properties of inequalities, the solution to the given inequality, $
7x+5\lt4x-12
,$ is
\begin{array}{l}\require{cancel}
7x-4x\lt-12-5
\\\\
3x\lt-17
\\\\
x\lt-\dfrac{17}{3}
.\end{array}