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

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


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

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

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

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

Combine like terms: 3 + 5 = 8
8 + 6 + -2x + -2x = -4(x + -1) + -1(4x + 5) + 3

Combine like terms: 8 + 6 = 14
14 + -2x + -2x = -4(x + -1) + -1(4x + 5) + 3

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

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

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

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

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

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

Combine like terms: -4x + -4x = -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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