2-(x+4)2=11

Solution for 2-(x+4)2=11 equation:

Simplifying
2 + -1(x + 4) * 2 = 11

Reorder the terms:
2 + -1(4 + x) * 2 = 11

Reorder the terms for easier multiplication:
2 + -1 * 2(4 + x) = 11

Multiply -1 * 2
2 + -2(4 + x) = 11
2 + (4 * -2 + x * -2) = 11
2 + (-8 + -2x) = 11

Combine like terms: 2 + -8 = -6
-6 + -2x = 11

Solving
-6 + -2x = 11

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + -2x = 11 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = 11 + 6
-2x = 11 + 6

Combine like terms: 11 + 6 = 17
-2x = 17

Divide each side by '-2'.
x = -8.5

Simplifying
x = -8.5