11-(x+5)=[2(x-1)+7]

Solution for 11-(x+5)=[2(x-1)+7] equation:

Simplifying
11 + -1(x + 5) = [2(x + -1) + 7]

Reorder the terms:
11 + -1(5 + x) = [2(x + -1) + 7]
11 + (5 * -1 + x * -1) = [2(x + -1) + 7]
11 + (-5 + -1x) = [2(x + -1) + 7]

Combine like terms: 11 + -5 = 6
6 + -1x = [2(x + -1) + 7]

Reorder the terms:
6 + -1x = [2(-1 + x) + 7]
6 + -1x = [(-1 * 2 + x * 2) + 7]
6 + -1x = [(-2 + 2x) + 7]

Reorder the terms:
6 + -1x = [-2 + 7 + 2x]

Combine like terms: -2 + 7 = 5
6 + -1x = [5 + 2x]

Remove brackets around [5 + 2x]
6 + -1x = 5 + 2x

Solving
6 + -1x = 5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + -1x + -2x = 5 + 2x + -2x

Combine like terms: -1x + -2x = -3x
6 + -3x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -3x = 5 + 0
6 + -3x = 5

Add '-6' to each side of the equation.
6 + -6 + -3x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = 5 + -6
-3x = 5 + -6

Combine like terms: 5 + -6 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333