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

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


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

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

Solving
-3 + 3x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-3 + 3x + -6x = -6 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-3 + -3x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + -3x = -6 + 0
-3 + -3x = -6

Add '3' to each side of the equation.
-3 + 3 + -3x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + -3x = -6 + 3
-3x = -6 + 3

Combine like terms: -6 + 3 = -3
-3x = -3

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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