(x+5)=(x-1)-(x+1)

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Solution for (x+5)=(x-1)-(x+1) equation:


Simplifying
(x + 5) = (x + -1) + -1(x + 1)

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

Remove parenthesis around (5 + x)
5 + x = (x + -1) + -1(x + 1)

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

Remove parenthesis around (-1 + x)
5 + x = -1 + x + -1(x + 1)

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

Reorder the terms:
5 + x = -1 + -1 + x + -1x

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

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

Solving
5 + x = -2

Solving for variable 'x'.

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

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

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

Combine like terms: -2 + -5 = -7
x = -7

Simplifying
x = -7

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