Variable $x$ cannot be equal to $-4$ since division by zero is not defined. Multiply both sides of the equation by $3\left(x+4\right)$, the least common multiple of $x+4,3$.
$$3\left(x-1\right)=\left(x+4\right)\times 6$$
Use the distributive property to multiply $3$ by $x-1$.
$$3x-3=\left(x+4\right)\times 6$$
Use the distributive property to multiply $x+4$ by $6$.