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

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


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

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

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

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

Combine like terms: 4 + 6 = 10
10 + 3 + -4x + 2x = -3(x + -1) + -1(6x + 2) + 3

Combine like terms: 10 + 3 = 13
13 + -4x + 2x = -3(x + -1) + -1(6x + 2) + 3

Combine like terms: -4x + 2x = -2x
13 + -2x = -3(x + -1) + -1(6x + 2) + 3

Reorder the terms:
13 + -2x = -3(-1 + x) + -1(6x + 2) + 3
13 + -2x = (-1 * -3 + x * -3) + -1(6x + 2) + 3
13 + -2x = (3 + -3x) + -1(6x + 2) + 3

Reorder the terms:
13 + -2x = 3 + -3x + -1(2 + 6x) + 3
13 + -2x = 3 + -3x + (2 * -1 + 6x * -1) + 3
13 + -2x = 3 + -3x + (-2 + -6x) + 3

Reorder the terms:
13 + -2x = 3 + -2 + 3 + -3x + -6x

Combine like terms: 3 + -2 = 1
13 + -2x = 1 + 3 + -3x + -6x

Combine like terms: 1 + 3 = 4
13 + -2x = 4 + -3x + -6x

Combine like terms: -3x + -6x = -9x
13 + -2x = 4 + -9x

Solving
13 + -2x = 4 + -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.
13 + -2x + 9x = 4 + -9x + 9x

Combine like terms: -2x + 9x = 7x
13 + 7x = 4 + -9x + 9x

Combine like terms: -9x + 9x = 0
13 + 7x = 4 + 0
13 + 7x = 4

Add '-13' to each side of the equation.
13 + -13 + 7x = 4 + -13

Combine like terms: 13 + -13 = 0
0 + 7x = 4 + -13
7x = 4 + -13

Combine like terms: 4 + -13 = -9
7x = -9

Divide each side by '7'.
x = -1.285714286

Simplifying
x = -1.285714286

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