#### Answer

$x=-7$

#### Work Step by Step

Using the properties of equality and combining like terms, the value of the variable that satisfies the given equation, $
8x-3-2x=-45
,$ is
\begin{array}{l}\require{cancel}
8x-2x=-45+3
\\\\
6x=-42
\\\\
x=\dfrac{-42}{6}
\\\\
x=-7
.\end{array}