3[2(x-4)-4x]=-12

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Solution for 3[2(x-4)-4x]=-12 equation:


Simplifying
3[2(x + -4) + -4x] = -12

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

Combine like terms: 2x + -4x = -2x
3[-8 + -2x] = -12
[-8 * 3 + -2x * 3] = -12
[-24 + -6x] = -12

Solving
-24 + -6x = -12

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + -6x = -12 + 24

Combine like terms: -24 + 24 = 0
0 + -6x = -12 + 24
-6x = -12 + 24

Combine like terms: -12 + 24 = 12
-6x = 12

Divide each side by '-6'.
x = -2

Simplifying
x = -2

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