-[6x-(3x+4)]=-5-[4(2x-4)-3x]

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Solution for -[6x-(3x+4)]=-5-[4(2x-4)-3x] equation:


Simplifying
-1[6x + -1(3x + 4)] = -5 + -1[4(2x + -4) + -3x]

Reorder the terms:
-1[6x + -1(4 + 3x)] = -5 + -1[4(2x + -4) + -3x]
-1[6x + (4 * -1 + 3x * -1)] = -5 + -1[4(2x + -4) + -3x]
-1[6x + (-4 + -3x)] = -5 + -1[4(2x + -4) + -3x]

Reorder the terms:
-1[-4 + 6x + -3x] = -5 + -1[4(2x + -4) + -3x]

Combine like terms: 6x + -3x = 3x
-1[-4 + 3x] = -5 + -1[4(2x + -4) + -3x]
[-4 * -1 + 3x * -1] = -5 + -1[4(2x + -4) + -3x]
[4 + -3x] = -5 + -1[4(2x + -4) + -3x]

Reorder the terms:
4 + -3x = -5 + -1[4(-4 + 2x) + -3x]
4 + -3x = -5 + -1[(-4 * 4 + 2x * 4) + -3x]
4 + -3x = -5 + -1[(-16 + 8x) + -3x]

Combine like terms: 8x + -3x = 5x
4 + -3x = -5 + -1[-16 + 5x]
4 + -3x = -5 + [-16 * -1 + 5x * -1]
4 + -3x = -5 + [16 + -5x]

Combine like terms: -5 + 16 = 11
4 + -3x = 11 + -5x

Solving
4 + -3x = 11 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
4 + -3x + 5x = 11 + -5x + 5x

Combine like terms: -3x + 5x = 2x
4 + 2x = 11 + -5x + 5x

Combine like terms: -5x + 5x = 0
4 + 2x = 11 + 0
4 + 2x = 11

Add '-4' to each side of the equation.
4 + -4 + 2x = 11 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 11 + -4
2x = 11 + -4

Combine like terms: 11 + -4 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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