-2(3x-6)-12=-24+3(6-3x)

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Solution for -2(3x-6)-12=-24+3(6-3x) equation:


Simplifying
-2(3x + -6) + -12 = -24 + 3(6 + -3x)

Reorder the terms:
-2(-6 + 3x) + -12 = -24 + 3(6 + -3x)
(-6 * -2 + 3x * -2) + -12 = -24 + 3(6 + -3x)
(12 + -6x) + -12 = -24 + 3(6 + -3x)

Reorder the terms:
12 + -12 + -6x = -24 + 3(6 + -3x)

Combine like terms: 12 + -12 = 0
0 + -6x = -24 + 3(6 + -3x)
-6x = -24 + 3(6 + -3x)
-6x = -24 + (6 * 3 + -3x * 3)
-6x = -24 + (18 + -9x)

Combine like terms: -24 + 18 = -6
-6x = -6 + -9x

Solving
-6x = -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.
-6x + 9x = -6 + -9x + 9x

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

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

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

Simplifying
x = -2

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