-2(x-4)+12(3-2x)=-8

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Solution for -2(x-4)+12(3-2x)=-8 equation: 


Simplifying
-2(x + -4) + 12(3 + -2x) = -8

Reorder the terms:
-2(-4 + x) + 12(3 + -2x) = -8
(-4 * -2 + x * -2) + 12(3 + -2x) = -8
(8 + -2x) + 12(3 + -2x) = -8
8 + -2x + (3 * 12 + -2x * 12) = -8
8 + -2x + (36 + -24x) = -8

Reorder the terms:
8 + 36 + -2x + -24x = -8

Combine like terms: 8 + 36 = 44
44 + -2x + -24x = -8

Combine like terms: -2x + -24x = -26x
44 + -26x = -8

Solving
44 + -26x = -8

Solving for variable 'x'.

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

Add '-44' to each side of the equation.
44 + -44 + -26x = -8 + -44

Combine like terms: 44 + -44 = 0
0 + -26x = -8 + -44
-26x = -8 + -44

Combine like terms: -8 + -44 = -52
-26x = -52

Divide each side by '-26'.
x = 2

Simplifying
x = 2

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