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

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


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

Reorder the terms:
2x + -4(-4 + x) = 6 + 3x + 12
2x + (-4 * -4 + x * -4) = 6 + 3x + 12
2x + (16 + -4x) = 6 + 3x + 12

Reorder the terms:
16 + 2x + -4x = 6 + 3x + 12

Combine like terms: 2x + -4x = -2x
16 + -2x = 6 + 3x + 12

Reorder the terms:
16 + -2x = 6 + 12 + 3x

Combine like terms: 6 + 12 = 18
16 + -2x = 18 + 3x

Solving
16 + -2x = 18 + 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.
16 + -2x + -3x = 18 + 3x + -3x

Combine like terms: -2x + -3x = -5x
16 + -5x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -5x = 18 + 0
16 + -5x = 18

Add '-16' to each side of the equation.
16 + -16 + -5x = 18 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = 18 + -16
-5x = 18 + -16

Combine like terms: 18 + -16 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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