How do you solve 6sqrt(x+5)=30?

Jun 2, 2016

$x = 20$

Explanation:

In steps, isolate first the group that has $x$ in it. Then isolate $x$.

Divide both sides by 6

$\sqrt{x + 5} = \frac{30}{6} = 5$

Square both sides

$x + 5 = {5}^{2}$

subtract 5 from both sides

$x = {5}^{2} - 5$

$x = 25 - 5 = 20$