(x+1)-(x-1)=[(x+1)+4]-(2x+2)

Solution for (x+1)-(x-1)=[(x+1)+4]-(2x+2) equation:

Simplifying
(x + 1) + -1(x + -1) = [(x + 1) + 4] + -1(2x + 2)

Reorder the terms:
(1 + x) + -1(x + -1) = [(x + 1) + 4] + -1(2x + 2)

Remove parenthesis around (1 + x)
1 + x + -1(x + -1) = [(x + 1) + 4] + -1(2x + 2)

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

Reorder the terms:
1 + 1 + x + -1x = [(x + 1) + 4] + -1(2x + 2)

Combine like terms: 1 + 1 = 2
2 + x + -1x = [(x + 1) + 4] + -1(2x + 2)

Combine like terms: x + -1x = 0
2 + 0 = [(x + 1) + 4] + -1(2x + 2)
2 = [(x + 1) + 4] + -1(2x + 2)

Reorder the terms:
2 = [(1 + x) + 4] + -1(2x + 2)

Remove parenthesis around (1 + x)
2 = [1 + x + 4] + -1(2x + 2)

Reorder the terms:
2 = [1 + 4 + x] + -1(2x + 2)

Combine like terms: 1 + 4 = 5
2 = [5 + x] + -1(2x + 2)

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

Reorder the terms:
2 = 5 + x + -1(2 + 2x)
2 = 5 + x + (2 * -1 + 2x * -1)
2 = 5 + x + (-2 + -2x)

Reorder the terms:
2 = 5 + -2 + x + -2x

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

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

Solving
2 = 3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + x = 3 + -1x + x

Combine like terms: -1x + x = 0
2 + x = 3 + 0
2 + x = 3

Add '-2' to each side of the equation.
2 + -2 + x = 3 + -2

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

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

Simplifying
x = 1