(2-6x)-(4+4x)-(-3+x)=(-4-8x)-(-3+x)

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Solution for (2-6x)-(4+4x)-(-3+x)=(-4-8x)-(-3+x) equation: 


Simplifying
(2 + -6x) + -1(4 + 4x) + -1(-3 + x) = (-4 + -8x) + -1(-3 + x)

Remove parenthesis around (2 + -6x)
2 + -6x + -1(4 + 4x) + -1(-3 + x) = (-4 + -8x) + -1(-3 + x)
2 + -6x + (4 * -1 + 4x * -1) + -1(-3 + x) = (-4 + -8x) + -1(-3 + x)
2 + -6x + (-4 + -4x) + -1(-3 + x) = (-4 + -8x) + -1(-3 + x)
2 + -6x + -4 + -4x + (-3 * -1 + x * -1) = (-4 + -8x) + -1(-3 + x)
2 + -6x + -4 + -4x + (3 + -1x) = (-4 + -8x) + -1(-3 + x)

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

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

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

Combine like terms: -6x + -4x = -10x
1 + -10x + -1x = (-4 + -8x) + -1(-3 + x)

Combine like terms: -10x + -1x = -11x
1 + -11x = (-4 + -8x) + -1(-3 + x)

Remove parenthesis around (-4 + -8x)
1 + -11x = -4 + -8x + -1(-3 + x)
1 + -11x = -4 + -8x + (-3 * -1 + x * -1)
1 + -11x = -4 + -8x + (3 + -1x)

Reorder the terms:
1 + -11x = -4 + 3 + -8x + -1x

Combine like terms: -4 + 3 = -1
1 + -11x = -1 + -8x + -1x

Combine like terms: -8x + -1x = -9x
1 + -11x = -1 + -9x

Solving
1 + -11x = -1 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
1 + -11x + 9x = -1 + -9x + 9x

Combine like terms: -11x + 9x = -2x
1 + -2x = -1 + -9x + 9x

Combine like terms: -9x + 9x = 0
1 + -2x = -1 + 0
1 + -2x = -1

Add '-1' to each side of the equation.
1 + -1 + -2x = -1 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = -1 + -1
-2x = -1 + -1

Combine like terms: -1 + -1 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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