(X-2)-2(x-1)=x-1-(x-5)

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Solution for (X-2)-2(x-1)=x-1-(x-5) equation:


Simplifying
(X + -2) + -2(x + -1) = x + -1 + -1(x + -5)

Reorder the terms:
(-2 + X) + -2(x + -1) = x + -1 + -1(x + -5)

Remove parenthesis around (-2 + X)
-2 + X + -2(x + -1) = x + -1 + -1(x + -5)

Reorder the terms:
-2 + X + -2(-1 + x) = x + -1 + -1(x + -5)
-2 + X + (-1 * -2 + x * -2) = x + -1 + -1(x + -5)
-2 + X + (2 + -2x) = x + -1 + -1(x + -5)

Reorder the terms:
-2 + 2 + X + -2x = x + -1 + -1(x + -5)

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

Reorder the terms:
X + -2x = x + -1 + -1(-5 + x)
X + -2x = x + -1 + (-5 * -1 + x * -1)
X + -2x = x + -1 + (5 + -1x)

Reorder the terms:
X + -2x = -1 + 5 + x + -1x

Combine like terms: -1 + 5 = 4
X + -2x = 4 + x + -1x

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

Solving
X + -2x = 4

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.
X + -2x + 2x = 4 + 2x

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

Simplifying
X = 4 + 2x

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