## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$x=-6$
Using the properties of equality, the given equation, $\sqrt[3]{6x+9}+5=2$, is equivalent to \begin{array}{l} \sqrt[3]{6x+9}=2-5 \\\\ \sqrt[3]{6x+9}=-3 .\end{array} Raising both sides to the $\text{ 3rd }$ power, the solution to the equation above, $\sqrt[3]{6x+9}=-3$, is \begin{array}{l} 6x+9=-27 \\\\ 6x=-27-9 \\\\ 6x=-36 \\\\ x=-\dfrac{36}{6} \\\\ x=-6 .\end{array}