-(4x-4)-(2x-6)+3=-4(x-1)-(5x+3)+3

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Solution for -(4x-4)-(2x-6)+3=-4(x-1)-(5x+3)+3 equation: 


Simplifying
-1(4x + -4) + -1(2x + -6) + 3 = -4(x + -1) + -1(5x + 3) + 3

Reorder the terms:
-1(-4 + 4x) + -1(2x + -6) + 3 = -4(x + -1) + -1(5x + 3) + 3
(-4 * -1 + 4x * -1) + -1(2x + -6) + 3 = -4(x + -1) + -1(5x + 3) + 3
(4 + -4x) + -1(2x + -6) + 3 = -4(x + -1) + -1(5x + 3) + 3

Reorder the terms:
4 + -4x + -1(-6 + 2x) + 3 = -4(x + -1) + -1(5x + 3) + 3
4 + -4x + (-6 * -1 + 2x * -1) + 3 = -4(x + -1) + -1(5x + 3) + 3
4 + -4x + (6 + -2x) + 3 = -4(x + -1) + -1(5x + 3) + 3

Reorder the terms:
4 + 6 + 3 + -4x + -2x = -4(x + -1) + -1(5x + 3) + 3

Combine like terms: 4 + 6 = 10
10 + 3 + -4x + -2x = -4(x + -1) + -1(5x + 3) + 3

Combine like terms: 10 + 3 = 13
13 + -4x + -2x = -4(x + -1) + -1(5x + 3) + 3

Combine like terms: -4x + -2x = -6x
13 + -6x = -4(x + -1) + -1(5x + 3) + 3

Reorder the terms:
13 + -6x = -4(-1 + x) + -1(5x + 3) + 3
13 + -6x = (-1 * -4 + x * -4) + -1(5x + 3) + 3
13 + -6x = (4 + -4x) + -1(5x + 3) + 3

Reorder the terms:
13 + -6x = 4 + -4x + -1(3 + 5x) + 3
13 + -6x = 4 + -4x + (3 * -1 + 5x * -1) + 3
13 + -6x = 4 + -4x + (-3 + -5x) + 3

Reorder the terms:
13 + -6x = 4 + -3 + 3 + -4x + -5x

Combine like terms: 4 + -3 = 1
13 + -6x = 1 + 3 + -4x + -5x

Combine like terms: 1 + 3 = 4
13 + -6x = 4 + -4x + -5x

Combine like terms: -4x + -5x = -9x
13 + -6x = 4 + -9x

Solving
13 + -6x = 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 + -6x + 9x = 4 + -9x + 9x

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

Combine like terms: -9x + 9x = 0
13 + 3x = 4 + 0
13 + 3x = 4

Add '-13' to each side of the equation.
13 + -13 + 3x = 4 + -13

Combine like terms: 13 + -13 = 0
0 + 3x = 4 + -13
3x = 4 + -13

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

Divide each side by '3'.
x = -3

Simplifying
x = -3

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