Solve algebraically for x: 4-√2x-5) = 1

Here's how to solve this equation:

4 - √2x-5 = 1

√2x-5 = 4-1

√2x-5 = 3 (now we have to square both sides to get rid of the root)

√2x-5=3 / ^2

(√2x-5) ^2 = 3^2

2x-5 = 9

2x = 9+5

2x = 14

x = 14/2

x = 7

The correct answer is 7.