Answer
$3$
Work Step by Step
Multiply $x+2$ to both sides of the equation to obtain:
$6(x+2) = \dfrac{30}{x+2} \cdot (x+2)
\\6(x)+6(2)=30
\\6x+12=30$
Subtract $12$ to both sides of the equation to obtain:
$6x=30-12
\\6x=18$
Divide $6$ to both sides to obtain:
$x = 3$
Cheking:
$6=\dfrac{30}{3+2}?
\\6 = \dfrac{30}{5}?
\\6=6$
Thus, the solution to the given equation is: $3$.
