Answer
$x=100$
Work Step by Step
The given equation is
$\Rightarrow \sqrt{x}-7=3$
Add $7$ to each side.
$\Rightarrow \sqrt{x}-7+7=3+7$
Simplify.
$\Rightarrow \sqrt{x}=10$
Square each side of the equation.
$\Rightarrow (\sqrt{x})^2=10^2$
Simplify.
$\Rightarrow x=100$
Check $x=100$.
$\Rightarrow \sqrt{x}-7=3$
$\Rightarrow \sqrt{100}-7=3$
$\Rightarrow 10-7=3$
$\Rightarrow 3=3$
True.
Hence, the solution is $x=100$.