X-1(2-x)=-3(-2x-4)

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Solution for X-1(2-x)=-3(-2x-4) equation:


Simplifying
X + -1(2 + -1x) = -3(-2x + -4)
X + (2 * -1 + -1x * -1) = -3(-2x + -4)
X + (-2 + 1x) = -3(-2x + -4)

Reorder the terms:
-2 + X + 1x = -3(-2x + -4)

Reorder the terms:
-2 + X + 1x = -3(-4 + -2x)
-2 + X + 1x = (-4 * -3 + -2x * -3)
-2 + X + 1x = (12 + 6x)

Solving
-2 + X + 1x = 12 + 6x

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + X + 2 + 1x = 12 + 2 + 6x

Reorder the terms:
-2 + 2 + X + 1x = 12 + 2 + 6x

Combine like terms: -2 + 2 = 0
0 + X + 1x = 12 + 2 + 6x
X + 1x = 12 + 2 + 6x

Combine like terms: 12 + 2 = 14
X + 1x = 14 + 6x

Add '-1x' to each side of the equation.
X + 1x + -1x = 14 + 6x + -1x

Combine like terms: 1x + -1x = 0
X + 0 = 14 + 6x + -1x
X = 14 + 6x + -1x

Combine like terms: 6x + -1x = 5x
X = 14 + 5x

Simplifying
X = 14 + 5x

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