-[7x-(3x+5)]=-6-[4(2x-4)-2x]

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Solution for -[7x-(3x+5)]=-6-[4(2x-4)-2x] equation:


Simplifying
-1[7x + -1(3x + 5)] = -6 + -1[4(2x + -4) + -2x]

Reorder the terms:
-1[7x + -1(5 + 3x)] = -6 + -1[4(2x + -4) + -2x]
-1[7x + (5 * -1 + 3x * -1)] = -6 + -1[4(2x + -4) + -2x]
-1[7x + (-5 + -3x)] = -6 + -1[4(2x + -4) + -2x]

Reorder the terms:
-1[-5 + 7x + -3x] = -6 + -1[4(2x + -4) + -2x]

Combine like terms: 7x + -3x = 4x
-1[-5 + 4x] = -6 + -1[4(2x + -4) + -2x]
[-5 * -1 + 4x * -1] = -6 + -1[4(2x + -4) + -2x]
[5 + -4x] = -6 + -1[4(2x + -4) + -2x]

Reorder the terms:
5 + -4x = -6 + -1[4(-4 + 2x) + -2x]
5 + -4x = -6 + -1[(-4 * 4 + 2x * 4) + -2x]
5 + -4x = -6 + -1[(-16 + 8x) + -2x]

Combine like terms: 8x + -2x = 6x
5 + -4x = -6 + -1[-16 + 6x]
5 + -4x = -6 + [-16 * -1 + 6x * -1]
5 + -4x = -6 + [16 + -6x]

Combine like terms: -6 + 16 = 10
5 + -4x = 10 + -6x

Solving
5 + -4x = 10 + -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.
5 + -4x + 6x = 10 + -6x + 6x

Combine like terms: -4x + 6x = 2x
5 + 2x = 10 + -6x + 6x

Combine like terms: -6x + 6x = 0
5 + 2x = 10 + 0
5 + 2x = 10

Add '-5' to each side of the equation.
5 + -5 + 2x = 10 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 10 + -5
2x = 10 + -5

Combine like terms: 10 + -5 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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