(2x+2)-1=-x-(x+3)

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Solution for (2x+2)-1=-x-(x+3) equation:


Simplifying
(2x + 2) + -1 = -1x + -1(x + 3)

Reorder the terms:
(2 + 2x) + -1 = -1x + -1(x + 3)

Remove parenthesis around (2 + 2x)
2 + 2x + -1 = -1x + -1(x + 3)

Reorder the terms:
2 + -1 + 2x = -1x + -1(x + 3)

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

Reorder the terms:
1 + 2x = -1x + -1(3 + x)
1 + 2x = -1x + (3 * -1 + x * -1)
1 + 2x = -1x + (-3 + -1x)

Reorder the terms:
1 + 2x = -3 + -1x + -1x

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

Solving
1 + 2x = -3 + -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.
1 + 2x + 2x = -3 + -2x + 2x

Combine like terms: 2x + 2x = 4x
1 + 4x = -3 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + 4x = -3 + 0
1 + 4x = -3

Add '-1' to each side of the equation.
1 + -1 + 4x = -3 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = -3 + -1
4x = -3 + -1

Combine like terms: -3 + -1 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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