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

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


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

Reorder the terms:
4x + -6(-4 + x) = 4(3 + -2x) + 4
4x + (-4 * -6 + x * -6) = 4(3 + -2x) + 4
4x + (24 + -6x) = 4(3 + -2x) + 4

Reorder the terms:
24 + 4x + -6x = 4(3 + -2x) + 4

Combine like terms: 4x + -6x = -2x
24 + -2x = 4(3 + -2x) + 4
24 + -2x = (3 * 4 + -2x * 4) + 4
24 + -2x = (12 + -8x) + 4

Reorder the terms:
24 + -2x = 12 + 4 + -8x

Combine like terms: 12 + 4 = 16
24 + -2x = 16 + -8x

Solving
24 + -2x = 16 + -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.
24 + -2x + 8x = 16 + -8x + 8x

Combine like terms: -2x + 8x = 6x
24 + 6x = 16 + -8x + 8x

Combine like terms: -8x + 8x = 0
24 + 6x = 16 + 0
24 + 6x = 16

Add '-24' to each side of the equation.
24 + -24 + 6x = 16 + -24

Combine like terms: 24 + -24 = 0
0 + 6x = 16 + -24
6x = 16 + -24

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

Divide each side by '6'.
x = -1.333333333

Simplifying
x = -1.333333333

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