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

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


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

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

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

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

Combine like terms: 5 + 6 = 11
11 + 3 + -2x + -2x = -3(x + -1) + -1(5x + 4) + 3

Combine like terms: 11 + 3 = 14
14 + -2x + -2x = -3(x + -1) + -1(5x + 4) + 3

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

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

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

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

Combine like terms: 3 + -4 = -1
14 + -4x = -1 + 3 + -3x + -5x

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

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

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

Solving for variable 'x'.

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

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

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

Combine like terms: -8x + 8x = 0
14 + 4x = 2 + 0
14 + 4x = 2

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

Combine like terms: 14 + -14 = 0
0 + 4x = 2 + -14
4x = 2 + -14

Combine like terms: 2 + -14 = -12
4x = -12

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

Simplifying
x = -3

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