Answer
$x=44$
Work Step by Step
Solve for $x$:
$$\sqrt {2x-7}-3=6$$ $$\sqrt {2x-7}=6+3$$ $$\sqrt {2x-7}=9$$ $$ {2x-7}=81$$ $$ {2x}=88$$ $$x=44$$
Check the solution:
$$\sqrt {2(44)-7}-3\stackrel{?}{=}6$$ $$\sqrt {81}-3\stackrel{?}{=}6$$ $$6=6\checkmark$$
