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

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


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

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

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

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

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

Combine like terms: 10 + 4 = 14
14 + -2x + -2x = 5(x + -1) + -1(3x + 6) + 3

Combine like terms: -2x + -2x = -4x
14 + -4x = 5(x + -1) + -1(3x + 6) + 3

Reorder the terms:
14 + -4x = 5(-1 + x) + -1(3x + 6) + 3
14 + -4x = (-1 * 5 + x * 5) + -1(3x + 6) + 3
14 + -4x = (-5 + 5x) + -1(3x + 6) + 3

Reorder the terms:
14 + -4x = -5 + 5x + -1(6 + 3x) + 3
14 + -4x = -5 + 5x + (6 * -1 + 3x * -1) + 3
14 + -4x = -5 + 5x + (-6 + -3x) + 3

Reorder the terms:
14 + -4x = -5 + -6 + 3 + 5x + -3x

Combine like terms: -5 + -6 = -11
14 + -4x = -11 + 3 + 5x + -3x

Combine like terms: -11 + 3 = -8
14 + -4x = -8 + 5x + -3x

Combine like terms: 5x + -3x = 2x
14 + -4x = -8 + 2x

Solving
14 + -4x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
14 + -4x + -2x = -8 + 2x + -2x

Combine like terms: -4x + -2x = -6x
14 + -6x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
14 + -6x = -8 + 0
14 + -6x = -8

Add '-14' to each side of the equation.
14 + -14 + -6x = -8 + -14

Combine like terms: 14 + -14 = 0
0 + -6x = -8 + -14
-6x = -8 + -14

Combine like terms: -8 + -14 = -22
-6x = -22

Divide each side by '-6'.
x = 3.666666667

Simplifying
x = 3.666666667

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