Answer
$b=2$
Work Step by Step
Substitute $2$ to $x$ in the given equation to obtain:
$2+2b=2-4+2b(2)
\\2+2b=-2+4b$
Subtract $2b$ and add $2$ to both sides of the equation to obtain:
$2+2b-2b+2=-2+4b-2b+2
\\4=2b$
Divide $2$ on both sides to obtain:
$2=b$
