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

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


Simplifying
4(3 + -1x) + 4 = 4(3x + -2) + -4x
(3 * 4 + -1x * 4) + 4 = 4(3x + -2) + -4x
(12 + -4x) + 4 = 4(3x + -2) + -4x

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

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

Reorder the terms:
16 + -4x = 4(-2 + 3x) + -4x
16 + -4x = (-2 * 4 + 3x * 4) + -4x
16 + -4x = (-8 + 12x) + -4x

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

Solving
16 + -4x = -8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
16 + -4x + -8x = -8 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
16 + -12x = -8 + 0
16 + -12x = -8

Add '-16' to each side of the equation.
16 + -16 + -12x = -8 + -16

Combine like terms: 16 + -16 = 0
0 + -12x = -8 + -16
-12x = -8 + -16

Combine like terms: -8 + -16 = -24
-12x = -24

Divide each side by '-12'.
x = 2

Simplifying
x = 2

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