Explanation:
First you had to square from both sides of equation form.
[tex](\sqrt{x-6+2})^2=6^2[/tex]
Then you expanded form.
[tex](\sqrt{x-6+2})^2=x-4[/tex]
[tex]x-4=36[/tex]
[tex]6^2=6*6=36[/tex]
Solve by equation form.
[tex]x-4=36[/tex]
Add by four from both sides of equation form.
[tex]x-4+4=36+4[/tex]
Simplify.
[tex]x=40[/tex]
Verified solutions.
[tex]x=40 \boxed{TRUE}[/tex]
Final answer: [tex]\boxed{x=40}[/tex]
Hope this helps!
And thank you for posting your question at here on brainly, and have a great day.
-Charlie