2x-(x-2)=-2-(x-1)

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


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

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

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

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

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

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

Solving
2 + 1x = -1 + -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 + 1x + x = -1 + -1x + x

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

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

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

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

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

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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