3x-x=2(-2-x)-2(-3x-3)

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


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

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

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

Reorder the terms:
2x = -4 + 6 + -2x + 6x

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

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

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

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

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

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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