-[4x-(2x+8)]=-3-[4(2x-4)-4x]

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Solution for -[4x-(2x+8)]=-3-[4(2x-4)-4x] equation:


Simplifying
-1[4x + -1(2x + 8)] = -3 + -1[4(2x + -4) + -4x]

Reorder the terms:
-1[4x + -1(8 + 2x)] = -3 + -1[4(2x + -4) + -4x]
-1[4x + (8 * -1 + 2x * -1)] = -3 + -1[4(2x + -4) + -4x]
-1[4x + (-8 + -2x)] = -3 + -1[4(2x + -4) + -4x]

Reorder the terms:
-1[-8 + 4x + -2x] = -3 + -1[4(2x + -4) + -4x]

Combine like terms: 4x + -2x = 2x
-1[-8 + 2x] = -3 + -1[4(2x + -4) + -4x]
[-8 * -1 + 2x * -1] = -3 + -1[4(2x + -4) + -4x]
[8 + -2x] = -3 + -1[4(2x + -4) + -4x]

Reorder the terms:
8 + -2x = -3 + -1[4(-4 + 2x) + -4x]
8 + -2x = -3 + -1[(-4 * 4 + 2x * 4) + -4x]
8 + -2x = -3 + -1[(-16 + 8x) + -4x]

Combine like terms: 8x + -4x = 4x
8 + -2x = -3 + -1[-16 + 4x]
8 + -2x = -3 + [-16 * -1 + 4x * -1]
8 + -2x = -3 + [16 + -4x]

Combine like terms: -3 + 16 = 13
8 + -2x = 13 + -4x

Solving
8 + -2x = 13 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
8 + -2x + 4x = 13 + -4x + 4x

Combine like terms: -2x + 4x = 2x
8 + 2x = 13 + -4x + 4x

Combine like terms: -4x + 4x = 0
8 + 2x = 13 + 0
8 + 2x = 13

Add '-8' to each side of the equation.
8 + -8 + 2x = 13 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 13 + -8
2x = 13 + -8

Combine like terms: 13 + -8 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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