#### Answer

$x=\{-2,8\}$

#### Work Step by Step

"The difference between a number and 3" is written as $x-3$.
The equation can be written as:
$(x-3)^2=25$
Take the square root of each side.
$\sqrt{(x-3)^2}=\sqrt{25}$
Simplify.
$x-3=\pm5$
Add 3 to each side.
$x-3+3=\pm5+3$
Simplify
$x=5+3$ or $x=-5+3$
$x=8$ or $x=-2$
State as a solution set.
$x=\{-2,8\}$