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

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


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

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

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

Reorder the terms:
2 + -2x = -4 + -2x + -1x

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

Solving
2 + -2x = -4 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
2 + -2x + 3x = -4 + -3x + 3x

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

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

Add '-2' to each side of the equation.
2 + -2 + 1x = -4 + -2

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

Combine like terms: -4 + -2 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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