Variable $x$ cannot be equal to any of the values $-1,0$ since division by zero is not defined. Multiply both sides of the equation by $2x\left(x+1\right)$, the least common multiple of $x+1,2x$.
$$2x\times 3=\left(x+1\right)\times 5$$
Multiply $2$ and $3$ to get $6$.
$$6x=\left(x+1\right)\times 5$$
Use the distributive property to multiply $x+1$ by $5$.