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

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


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

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

Combine like terms: -8x + -2x = -10x
16 + -10x = 3(-2x + -4)

Reorder the terms:
16 + -10x = 3(-4 + -2x)
16 + -10x = (-4 * 3 + -2x * 3)
16 + -10x = (-12 + -6x)

Solving
16 + -10x = -12 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
16 + -10x + 6x = -12 + -6x + 6x

Combine like terms: -10x + 6x = -4x
16 + -4x = -12 + -6x + 6x

Combine like terms: -6x + 6x = 0
16 + -4x = -12 + 0
16 + -4x = -12

Add '-16' to each side of the equation.
16 + -16 + -4x = -12 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = -12 + -16
-4x = -12 + -16

Combine like terms: -12 + -16 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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