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

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


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

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

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

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

Reorder the terms:
7 + -3x = -6 + -1[4(-4 + 2x) + -3x]
7 + -3x = -6 + -1[(-4 * 4 + 2x * 4) + -3x]
7 + -3x = -6 + -1[(-16 + 8x) + -3x]

Combine like terms: 8x + -3x = 5x
7 + -3x = -6 + -1[-16 + 5x]
7 + -3x = -6 + [-16 * -1 + 5x * -1]
7 + -3x = -6 + [16 + -5x]

Combine like terms: -6 + 16 = 10
7 + -3x = 10 + -5x

Solving
7 + -3x = 10 + -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.
7 + -3x + 5x = 10 + -5x + 5x

Combine like terms: -3x + 5x = 2x
7 + 2x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
7 + 2x = 10 + 0
7 + 2x = 10

Add '-7' to each side of the equation.
7 + -7 + 2x = 10 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 10 + -7
2x = 10 + -7

Combine like terms: 10 + -7 = 3
2x = 3

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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