2-3(2x-4)=4(6-x)-8

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Solution for 2-3(2x-4)=4(6-x)-8 equation: 


Simplifying
2 + -3(2x + -4) = 4(6 + -1x) + -8

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

Combine like terms: 2 + 12 = 14
14 + -6x = 4(6 + -1x) + -8
14 + -6x = (6 * 4 + -1x * 4) + -8
14 + -6x = (24 + -4x) + -8

Reorder the terms:
14 + -6x = 24 + -8 + -4x

Combine like terms: 24 + -8 = 16
14 + -6x = 16 + -4x

Solving
14 + -6x = 16 + -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.
14 + -6x + 4x = 16 + -4x + 4x

Combine like terms: -6x + 4x = -2x
14 + -2x = 16 + -4x + 4x

Combine like terms: -4x + 4x = 0
14 + -2x = 16 + 0
14 + -2x = 16

Add '-14' to each side of the equation.
14 + -14 + -2x = 16 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = 16 + -14
-2x = 16 + -14

Combine like terms: 16 + -14 = 2
-2x = 2

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

Simplifying
x = -1

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