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

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


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

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

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

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

Combine like terms: 3 + 6 = 9
9 + 5 + -2x + -2x = -3(x + -1) + -1(4x + 4) + 3

Combine like terms: 9 + 5 = 14
14 + -2x + -2x = -3(x + -1) + -1(4x + 4) + 3

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

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

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

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

Combine like terms: 3 + -4 = -1
14 + -4x = -1 + 3 + -3x + -4x

Combine like terms: -1 + 3 = 2
14 + -4x = 2 + -3x + -4x

Combine like terms: -3x + -4x = -7x
14 + -4x = 2 + -7x

Solving
14 + -4x = 2 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
14 + -4x + 7x = 2 + -7x + 7x

Combine like terms: -4x + 7x = 3x
14 + 3x = 2 + -7x + 7x

Combine like terms: -7x + 7x = 0
14 + 3x = 2 + 0
14 + 3x = 2

Add '-14' to each side of the equation.
14 + -14 + 3x = 2 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = 2 + -14
3x = 2 + -14

Combine like terms: 2 + -14 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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