Answer
$x=14$
Work Step by Step
Solve for $x$:
$$8\sqrt {x-5}+34=58$$ $$8\sqrt {x-5}=58-34$$ $$8\sqrt {x-5}=24$$ $$\sqrt {x-5}=3$$ $${x-5}=9$$ $$x=14$$
Check the solution:
$$8\sqrt {14-5}+34\stackrel{?}{=}58$$ $$8\sqrt {9}+34\stackrel{?}{=}58$$ $$8\cdot 3+34\stackrel{?}{=}58$$ $$58=58\checkmark$$
