Answer
$ x=5$.
Work Step by Step
The given function is
$\Rightarrow w(x)=-2x+7$
Substitute $-3$ for $w(x)$.
$\Rightarrow -3=-2x+7$
Add $2x+3$ to each side.
$\Rightarrow -3+2x+3=-2x+7+2x+3$
Simplify.
$\Rightarrow 2x=10$
Divide each side by $2$.
$\Rightarrow \frac{2x}{2}=\frac{10}{2}$
Simplify.
$\Rightarrow x=5$.