-2(x-4)-12=-(3x+6)

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Solution for -2(x-4)-12=-(3x+6) equation:


Simplifying
-2(x + -4) + -12 = -1(3x + 6)

Reorder the terms:
-2(-4 + x) + -12 = -1(3x + 6)
(-4 * -2 + x * -2) + -12 = -1(3x + 6)
(8 + -2x) + -12 = -1(3x + 6)

Reorder the terms:
8 + -12 + -2x = -1(3x + 6)

Combine like terms: 8 + -12 = -4
-4 + -2x = -1(3x + 6)

Reorder the terms:
-4 + -2x = -1(6 + 3x)
-4 + -2x = (6 * -1 + 3x * -1)
-4 + -2x = (-6 + -3x)

Solving
-4 + -2x = -6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-4 + -2x + 3x = -6 + -3x + 3x

Combine like terms: -2x + 3x = 1x
-4 + 1x = -6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + 1x = -6 + 0
-4 + 1x = -6

Add '4' to each side of the equation.
-4 + 4 + 1x = -6 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = -6 + 4
1x = -6 + 4

Combine like terms: -6 + 4 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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