-4[4x-(2x+4)]=-5[3(2x-4)-2x]

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Solution for -4[4x-(2x+4)]=-5[3(2x-4)-2x] equation:


Simplifying
-4[4x + -1(2x + 4)] = -5[3(2x + -4) + -2x]

Reorder the terms:
-4[4x + -1(4 + 2x)] = -5[3(2x + -4) + -2x]
-4[4x + (4 * -1 + 2x * -1)] = -5[3(2x + -4) + -2x]
-4[4x + (-4 + -2x)] = -5[3(2x + -4) + -2x]

Reorder the terms:
-4[-4 + 4x + -2x] = -5[3(2x + -4) + -2x]

Combine like terms: 4x + -2x = 2x
-4[-4 + 2x] = -5[3(2x + -4) + -2x]
[-4 * -4 + 2x * -4] = -5[3(2x + -4) + -2x]
[16 + -8x] = -5[3(2x + -4) + -2x]

Reorder the terms:
16 + -8x = -5[3(-4 + 2x) + -2x]
16 + -8x = -5[(-4 * 3 + 2x * 3) + -2x]
16 + -8x = -5[(-12 + 6x) + -2x]

Combine like terms: 6x + -2x = 4x
16 + -8x = -5[-12 + 4x]
16 + -8x = [-12 * -5 + 4x * -5]
16 + -8x = [60 + -20x]

Solving
16 + -8x = 60 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
16 + -8x + 20x = 60 + -20x + 20x

Combine like terms: -8x + 20x = 12x
16 + 12x = 60 + -20x + 20x

Combine like terms: -20x + 20x = 0
16 + 12x = 60 + 0
16 + 12x = 60

Add '-16' to each side of the equation.
16 + -16 + 12x = 60 + -16

Combine like terms: 16 + -16 = 0
0 + 12x = 60 + -16
12x = 60 + -16

Combine like terms: 60 + -16 = 44
12x = 44

Divide each side by '12'.
x = 3.666666667

Simplifying
x = 3.666666667

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