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

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


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

Reorder the terms:
2x + -4(-4 + x) = -8 + 2x + 12
2x + (-4 * -4 + x * -4) = -8 + 2x + 12
2x + (16 + -4x) = -8 + 2x + 12

Reorder the terms:
16 + 2x + -4x = -8 + 2x + 12

Combine like terms: 2x + -4x = -2x
16 + -2x = -8 + 2x + 12

Reorder the terms:
16 + -2x = -8 + 12 + 2x

Combine like terms: -8 + 12 = 4
16 + -2x = 4 + 2x

Solving
16 + -2x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
16 + -2x + -2x = 4 + 2x + -2x

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

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

Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16

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

Combine like terms: 4 + -16 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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