-(6x-1(2x+6))=3-(4(2x-4)-2x)

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Solution for -(6x-1(2x+6))=3-(4(2x-4)-2x) equation:


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

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

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

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

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

Combine like terms: 8x + -2x = 6x
6 + -4x = 3 + -1(-16 + 6x)
6 + -4x = 3 + (-16 * -1 + 6x * -1)
6 + -4x = 3 + (16 + -6x)

Combine like terms: 3 + 16 = 19
6 + -4x = 19 + -6x

Solving
6 + -4x = 19 + -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.
6 + -4x + 6x = 19 + -6x + 6x

Combine like terms: -4x + 6x = 2x
6 + 2x = 19 + -6x + 6x

Combine like terms: -6x + 6x = 0
6 + 2x = 19 + 0
6 + 2x = 19

Add '-6' to each side of the equation.
6 + -6 + 2x = 19 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 19 + -6
2x = 19 + -6

Combine like terms: 19 + -6 = 13
2x = 13

Divide each side by '2'.
x = 6.5

Simplifying
x = 6.5

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