Answer
$b = -1$
Work Step by Step
$\frac{2}{5}b + \frac{4}{5} = \frac{1}{5}(b+3)$
$\frac{2b}{5} + \frac{4}{5} = \frac{1}{5}(b+3)$
$\frac{2b}{5} + \frac{4}{5} = \frac{b+3}{5}$
$2b + 4 = b+3$
$2b - b = 3 - 4$
$b = 3-4$
$b = -1$
Check:
$\frac{2(-1)}{5} + \frac{4}{5} \overset{?}{=} \frac{1}{5}(-1+3)$
$\frac{-2}{5} + \frac{4}{5} \overset{?}{=} \frac{1}{5}(2)$
$\frac{-2}{5} + \frac{4}{5} \overset{?}{=} \frac{2}{5}$
$\frac{2}{5} = \frac{2}{5}$
