A discrete probability on five atoms

Let $X$ be a discrete random variable with $P(X\in\{-5,-3,0,3,5\})=1$. Suppose that $P(X=-3)=P(X=-5)$, $P(X=3)=P(X=5)$ and $P(X>0)=P(X=0)=P(X<0)$. Then the value of $12P(X=3)$ is equal to __________ (answer in integer)