Variable $x$ cannot be equal to $-\frac{3}{2}$ since division by zero is not defined. Multiply both sides of the equation by $8\left(2x+3\right)$, the least common multiple of $2x+3,8$.
$$8\left(x+1\right)=3\left(2x+3\right)$$
Use the distributive property to multiply $8$ by $x+1$.
$$8x+8=3\left(2x+3\right)$$
Use the distributive property to multiply $3$ by $2x+3$.
