Answer
$w=-4$.
Work Step by Step
The given equation is
$\Rightarrow w-2+2w=6+5w$
Simplify.
$\Rightarrow -2+3w=6+5w$
Add $-3w-6$ to both sides.
$\Rightarrow -2+3w-3w-6=6+5w-3w-6$
Simplify.
$\Rightarrow -8=2w$
Divide both sides by $2$.
$\Rightarrow \frac{-8}{2}=\frac{2w}{2}$
Simplify.
$\Rightarrow -4=w$.
Check:-
$\Rightarrow -4-2+2(-4)=6+5(-4)$
$\Rightarrow -4-2-8=6-20$
$\Rightarrow -14=-14$
True.
Hence, the solution is $w=-4$.
