# How do solve sqrt(x+7)+2=4?

Sep 14, 2015

$x = - 3$

#### Explanation:

$\sqrt{x + 7} + 2 = 4$

Subtract $2$ from both sides.

$\sqrt{x + 7} = 4 - 2$

$\sqrt{x + 7} = 2$

Square both sides of the equation.

${\left(\sqrt{x + 7}\right)}^{2} = {2}^{2}$

$x + 7 = 4$

Subtract $7$ from both sides.

$x = 4 - 7$

$x = - 3$