# How do you solve 8=10 (sqrt x) + 3?

Dec 8, 2015

In an equation like this, you first put the $x$'s to one side and the numbers to the other.

#### Explanation:

Subtract 3 from both sides:
$\to 5 = 10 \sqrt{x}$

Then you divide both sides by 10 to isolate the $\sqrt{x}$
$\to \frac{1}{2} = \sqrt{x} \to \sqrt{x} = \frac{1}{2}$

As a final step, you can square both sides:
$\to {\left(\sqrt{x}\right)}^{2} = {\left(\frac{1}{2}\right)}^{2} \to x = \frac{1}{4}$