Can't seem to solve a radical equation? Question is : $\sqrt{x+19} + \sqrt{x-2} = 7$ So there is this equation that I've been trying to solve but keep having trouble with.   
The unit is about solving Radical equations and the question says
Solve:
$$\sqrt{x+19} + \sqrt{x-2} = 7$$
I don't want the answer blurted, I want to know how it's done, including steps please.
Thank you!

Hope this acceptable...
$\sqrt{{x}+\mathrm{19}}+\sqrt{{x}−\mathrm{2}}=\mathrm{7} \\ $
$\sqrt{{x}+\mathrm{19}}=\mathrm{7}−\sqrt{{x}−\mathrm{2}} \\ $
${x}+\mathrm{19}=\mathrm{49}−\mathrm{14}\sqrt{{x}−\mathrm{2}}+\left({x}−\mathrm{2}\right) \\ $
$\mathrm{0}=\mathrm{28}−\mathrm{14}\sqrt{{x}−\mathrm{2}} \\ $
$\mathrm{2}=\sqrt{{x}−\mathrm{2}}\Rightarrow\mathrm{4}={x}−\mathrm{2}\Rightarrow{x}=\mathrm{6} \\ $
