Variable $x$ cannot be equal to $-1$ since division by zero is not defined. Multiply both sides of the equation by $12\left(x+1\right)$, the least common multiple of $4x+4,3$.
$$3\left(5x-3\right)=4\left(x+1\right)$$
Use the distributive property to multiply $3$ by $5x-3$.
$$15x-9=4\left(x+1\right)$$
Use the distributive property to multiply $4$ by $x+1$.
