Variable $x$ cannot be equal to $8$ since division by zero is not defined. Multiply both sides of the equation by $4\left(x-8\right)$, the least common multiple of $x-8,4$.
$$4\left(2x+5\right)=-13\left(x-8\right)$$
Use the distributive property to multiply $4$ by $2x+5$.
$$8x+20=-13\left(x-8\right)$$
Use the distributive property to multiply $-13$ by $x-8$.
