How do you square root (4x-3)^2+7=39

The steps to determining the value of x from the equation above is layed-out below.

1. Given: (4x - 3)^2 + 7 = 39
2. Subtract 7 from both sides of the equation,
     (4x - 3)^2 = 39 - 7 = 32
3. Determine the square roots of both sides of the equation.
    4x - 3 = sqrt 32 = 5.657
4. Add 3 to both sides of the equation.
   4x = 8.657
5. Lastly, divide the equation by 4 to get the final value of x.
    x = 2.164