3-3x=6x-3(4x-4)

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Solution for 3-3x=6x-3(4x-4) equation:


Simplifying
3 + -3x = 6x + -3(4x + -4)

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

Reorder the terms:
3 + -3x = 12 + 6x + -12x

Combine like terms: 6x + -12x = -6x
3 + -3x = 12 + -6x

Solving
3 + -3x = 12 + -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 = 12 + -6x + 6x

Combine like terms: -3x + 6x = 3x
3 + 3x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
3 + 3x = 12 + 0
3 + 3x = 12

Add '-3' to each side of the equation.
3 + -3 + 3x = 12 + -3

Combine like terms: 3 + -3 = 0
0 + 3x = 12 + -3
3x = 12 + -3

Combine like terms: 12 + -3 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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