Answer
$\{\frac{3}{2}\}$
Work Step by Step
Step 1. Rewrite the equation as $(2x+5)^{1/3}=(6x-1)^{1/3}$
Step 2. Raise both sides to the 3rd power to get: $2x+5=6x-1$ which gives $x=\frac{3}{2}$
Step 3. Check answer in the original equation: $\{\frac{3}{2}\}$ fits.
