-(x-6)-6x=-8x+3(-x-6)

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Solution for -(x-6)-6x=-8x+3(-x-6) equation:


Simplifying
-1(x + -6) + -6x = -8x + 3(-1x + -6)

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

Combine like terms: -1x + -6x = -7x
6 + -7x = -8x + 3(-1x + -6)

Reorder the terms:
6 + -7x = -8x + 3(-6 + -1x)
6 + -7x = -8x + (-6 * 3 + -1x * 3)
6 + -7x = -8x + (-18 + -3x)

Reorder the terms:
6 + -7x = -18 + -8x + -3x

Combine like terms: -8x + -3x = -11x
6 + -7x = -18 + -11x

Solving
6 + -7x = -18 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
6 + -7x + 11x = -18 + -11x + 11x

Combine like terms: -7x + 11x = 4x
6 + 4x = -18 + -11x + 11x

Combine like terms: -11x + 11x = 0
6 + 4x = -18 + 0
6 + 4x = -18

Add '-6' to each side of the equation.
6 + -6 + 4x = -18 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = -18 + -6
4x = -18 + -6

Combine like terms: -18 + -6 = -24
4x = -24

Divide each side by '4'.
x = -6

Simplifying
x = -6

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