Answer
$w=24$
Work Step by Step
$\frac{1}{3}w+3=\frac{2}{3}w-5\longrightarrow$ subtract $\frac{1}{3}w$ from each side; add 5 to each side
$\frac{1}{3}w+3-\frac{1}{3}w+5=\frac{2}{3}w-5-\frac{1}{3}w+5\longrightarrow$ combine like terms
$8=\frac{1}{3}w\longrightarrow$ multiply each side by 3
$8\times3=\frac{1}{3}w\times3\longrightarrow$ multiply
$24=w$
