Question 73204
Solve for x: 7 + sqrt(2x-5) = 12
:
7 + sqrt(2x-5) = 12 -subtract 7 from both sides
:
(sqrt(2x-5)^2=5^2
:
2x - 5 + 5 = 25 + 5
Right here you should have 
2x = 30
x = 30/2
x = 15
:
Check: 
7 + Sqrt(2(15) - 5) = 12
7 + Sqrt(25) = 12
:
Your method was right, just a small math error. But you checked your solution in
the original equation and found out.  That's good