#### Answer

$x\gt\dfrac{3}{2}$

#### Work Step by Step

Using the properties of inequalities, the solution to the given inequality, $
-6x+8\lt-4x+5
,$ is
\begin{array}{l}\require{cancel}
-6x+4x\lt5-8
\\\\
-2x\lt-3
\\\\
x\gt\dfrac{-3}{-2}
\\\\
x\gt\dfrac{3}{2}
.\end{array}