# How do you solve _^3sqrt(5z-4) + 7 = 10?

Apr 14, 2015

$\sqrt[3]{5 x - 4} + 7 = 10$

isolate the cube root
$\sqrt[3]{5 z - 4} = 3$

cube both sides
$5 z - 4 = 27$

isolate the $z$ term
$5 z = 31$

$\rightarrow z = \frac{31}{5}$