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

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


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

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

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

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

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

Add '-2' to each side of the equation.
2 + -2 + 2x = 2 + -2 + -4x

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

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

Solving
2x = -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
2x + 4x = -4x + 4x

Combine like terms: 2x + 4x = 6x
6x = -4x + 4x

Combine like terms: -4x + 4x = 0
6x = 0

Divide each side by '6'.
x = 0

Simplifying
x = 0

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