Variable $x$ cannot be equal to $2$ since division by zero is not defined. Multiply both sides of the equation by $3\left(x-2\right)$, the least common multiple of $x-2,3$.
$$3\left(x+2\right)=7\left(x-2\right)$$
Use the distributive property to multiply $3$ by $x+2$.
$$3x+6=7\left(x-2\right)$$
Use the distributive property to multiply $7$ by $x-2$.
