# How do you solve sqrt(3x+1)=5?

Jul 18, 2015

$x = 8$

#### Explanation:

$\sqrt{3 x + 1} = 5$

Square both sides.

$3 x + 1 = {5}^{2}$

$3 x + 1 = 25$

Subtract $1$ from both sides.

$3 x = 25 - 1$ =

$3 x = 24$

Divide both sides by $3$.

$x = \frac{24}{3}$ =

$x = 8$