-6(2x-2)=3(2-3x)

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Solution for -6(2x-2)=3(2-3x) equation: 


Simplifying
-6(2x + -2) = 3(2 + -3x)

Reorder the terms:
-6(-2 + 2x) = 3(2 + -3x)
(-2 * -6 + 2x * -6) = 3(2 + -3x)
(12 + -12x) = 3(2 + -3x)
12 + -12x = (2 * 3 + -3x * 3)
12 + -12x = (6 + -9x)

Solving
12 + -12x = 6 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
12 + -12x + 9x = 6 + -9x + 9x

Combine like terms: -12x + 9x = -3x
12 + -3x = 6 + -9x + 9x

Combine like terms: -9x + 9x = 0
12 + -3x = 6 + 0
12 + -3x = 6

Add '-12' to each side of the equation.
12 + -12 + -3x = 6 + -12

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

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

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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