I believe this would be the Distributive Property.
Let's break this down:
The difference: Something's gotta be subtracted
Twice a number: So 2 times a number, or n
and 3: So we gotta subtract 2n and 3
is 11: The final answer is 11
So altogether is:
2n - 3 = 11
1) subtract from both sides
![y - 5 = (x - 4) {}^{2}](https://tex.z-dn.net/?f=y%20-%205%20%3D%20%28x%20-%204%29%20%7B%7D%5E%7B2%7D%20)
2) divide both sides by -2
![- \frac{y - 5}{5} = (x - 4) {}^{2}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7By%20-%205%7D%7B5%7D%20%20%3D%20%28x%20-%204%29%20%7B%7D%5E%7B2%7D%20)
(1)take the square root of both sides
![\sqrt{ \frac{y - 5}{2} } = x - 4](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7By%20-%205%7D%7B2%7D%20%7D%20%20%3D%20x%20-%204)
(2) simplify
![\sqrt{ - \frac{y - 5}{2 +} } + \sqrt{ \frac{y - 5}{2} }](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%20-%20%5Cfrac%7By%20-%205%7D%7B2%20%2B%7D%20%7D%20%20%2B%20%20%5Csqrt%7B%20%5Cfrac%7By%20-%205%7D%7B2%7D%20%7D%20)
![\sqrt{ \frac{y - 5}{1} } = x - 4](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7By%20-%205%7D%7B1%7D%20%7D%20%20%3D%20x%20-%204)
5) regroup terms
![\sqrt{ \frac{y - 5}{2} } = x - 4](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7By%20-%205%7D%7B2%7D%20%7D%20%20%3D%20x%20-%204)
6) switch sides
![x - 4 = \sqrt{ \frac{y - 5}{2} }](https://tex.z-dn.net/?f=x%20-%204%20%3D%20%20%5Csqrt%7B%20%5Cfrac%7By%20-%205%7D%7B2%7D%20%7D%20)
7) break down the problem into these 2 equations
![x - 4 = \sqrt{ \frac{y - 5}{2} }](https://tex.z-dn.net/?f=x%20-%204%20%3D%20%20%5Csqrt%7B%20%5Cfrac%7By%20-%205%7D%7B2%7D%20%7D%20%20)
8) solve the 1st equation
![x = 4 - 2 \sqrt{ \frac{y - 5}{2} }](https://tex.z-dn.net/?f=x%20%20%3D%204%20-%202%20%5Csqrt%7B%20%5Cfrac%7By%20-%205%7D%7B2%7D%20%7D%20)
(1) add 4 to both sides
![x = \sqrt{ \frac{y - 5}{2} } + 4](https://tex.z-dn.net/?f=x%20%3D%20%20%5Csqrt%7B%20%5Cfrac%7By%20-%205%7D%7B2%7D%20%7D%20%20%2B%204)
(2) regroup terms
![x = 4 + 2 \sqrt{ \frac{y - 5}{2} }](https://tex.z-dn.net/?f=x%20%3D%204%20%2B%202%20%5Csqrt%7B%20%5Cfrac%7By%20-%205%7D%7B2%7D%20%7D%20)
9) solve the 2nd equation
![x - 4 = - 2 \sqrt{ \frac{y - 5}{2} }](https://tex.z-dn.net/?f=x%20%20-%204%20%3D%20%20-%202%20%5Csqrt%7B%20%5Cfrac%7By%20-%205%7D%7B2%7D%20%7D%20)
(1) add 4 to both sides
![x = - 2 \sqrt{ \frac{y - 5}{2} } + 4](https://tex.z-dn.net/?f=x%20%3D%20%20-%202%20%5Csqrt%7B%20%5Cfrac%7By%20-%205%7D%7B2%7D%20%7D%20%2B%204%20)
(2) regroup terms
![x = 4 - \sqrt{ \frac{y - 5}{2} }](https://tex.z-dn.net/?f=x%20%3D%204%20-%20%20%5Csqrt%7B%20%5Cfrac%7By%20-%205%7D%7B2%7D%20%7D%20)
10) collect all solutions
![x = 4 + \sqrt{ \frac{y - 5}{2} }4 - \sqrt{ \frac{y - 5}{2} }](https://tex.z-dn.net/?f=x%20%3D%204%20%2B%20%20%5Csqrt%7B%20%5Cfrac%7By%20-%205%7D%7B2%7D%20%7D4%20-%20%20%5Csqrt%7B%20%5Cfrac%7By%20-%205%7D%7B2%7D%20%7D%20%20)
that's your answer!
![x = 4 + \sqrt{ \frac{y - 5}{2} } 4 - \sqrt{ \frac{y - 5}{2} }](https://tex.z-dn.net/?f=x%20%3D%204%20%2B%20%20%5Csqrt%7B%20%5Cfrac%7By%20-%205%7D%7B2%7D%20%7D%204%20-%20%20%5Csqrt%7B%20%5Cfrac%7By%20-%205%7D%7B2%7D%20%7D%20)
I hope it understand you
Second choice- multiply by 12
5 + 2(2) = 5 + 4
5 + 4 = 9
The solution is 9