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

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


Simplifying
-3(x + -2) + 6 = -1x + -12 + -3x

Reorder the terms:
-3(-2 + x) + 6 = -1x + -12 + -3x
(-2 * -3 + x * -3) + 6 = -1x + -12 + -3x
(6 + -3x) + 6 = -1x + -12 + -3x

Reorder the terms:
6 + 6 + -3x = -1x + -12 + -3x

Combine like terms: 6 + 6 = 12
12 + -3x = -1x + -12 + -3x

Reorder the terms:
12 + -3x = -12 + -1x + -3x

Combine like terms: -1x + -3x = -4x
12 + -3x = -12 + -4x

Solving
12 + -3x = -12 + -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.
12 + -3x + 4x = -12 + -4x + 4x

Combine like terms: -3x + 4x = 1x
12 + 1x = -12 + -4x + 4x

Combine like terms: -4x + 4x = 0
12 + 1x = -12 + 0
12 + 1x = -12

Add '-12' to each side of the equation.
12 + -12 + 1x = -12 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = -12 + -12
1x = -12 + -12

Combine like terms: -12 + -12 = -24
1x = -24

Divide each side by '1'.
x = -24

Simplifying
x = -24

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