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

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


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

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

Remove parenthesis around (-2 + 6x)
-2 + 6x + -1(1 + -2x) = (3x + -3) + -1(5x + 3)
-2 + 6x + (1 * -1 + -2x * -1) = (3x + -3) + -1(5x + 3)
-2 + 6x + (-1 + 2x) = (3x + -3) + -1(5x + 3)

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

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

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

Reorder the terms:
-3 + 8x = (-3 + 3x) + -1(5x + 3)

Remove parenthesis around (-3 + 3x)
-3 + 8x = -3 + 3x + -1(5x + 3)

Reorder the terms:
-3 + 8x = -3 + 3x + -1(3 + 5x)
-3 + 8x = -3 + 3x + (3 * -1 + 5x * -1)
-3 + 8x = -3 + 3x + (-3 + -5x)

Reorder the terms:
-3 + 8x = -3 + -3 + 3x + -5x

Combine like terms: -3 + -3 = -6
-3 + 8x = -6 + 3x + -5x

Combine like terms: 3x + -5x = -2x
-3 + 8x = -6 + -2x

Solving
-3 + 8x = -6 + -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.
-3 + 8x + 2x = -6 + -2x + 2x

Combine like terms: 8x + 2x = 10x
-3 + 10x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + 10x = -6 + 0
-3 + 10x = -6

Add '3' to each side of the equation.
-3 + 3 + 10x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 10x = -6 + 3
10x = -6 + 3

Combine like terms: -6 + 3 = -3
10x = -3

Divide each side by '10'.
x = -0.3

Simplifying
x = -0.3

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