(2x+2y-2)-(x-y-3)+(4x+8y+2)=

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Solution for (2x+2y-2)-(x-y-3)+(4x+8y+2)= equation: 


Simplifying
(2x + 2y + -2) + -1(x + -1y + -3) + (4x + 8y + 2) = 0

Reorder the terms:
(-2 + 2x + 2y) + -1(x + -1y + -3) + (4x + 8y + 2) = 0

Remove parenthesis around (-2 + 2x + 2y)
-2 + 2x + 2y + -1(x + -1y + -3) + (4x + 8y + 2) = 0

Reorder the terms:
-2 + 2x + 2y + -1(-3 + x + -1y) + (4x + 8y + 2) = 0
-2 + 2x + 2y + (-3 * -1 + x * -1 + -1y * -1) + (4x + 8y + 2) = 0
-2 + 2x + 2y + (3 + -1x + 1y) + (4x + 8y + 2) = 0

Reorder the terms:
-2 + 2x + 2y + 3 + -1x + 1y + (2 + 4x + 8y) = 0

Remove parenthesis around (2 + 4x + 8y)
-2 + 2x + 2y + 3 + -1x + 1y + 2 + 4x + 8y = 0

Reorder the terms:
-2 + 3 + 2 + 2x + -1x + 4x + 2y + 1y + 8y = 0

Combine like terms: -2 + 3 = 1
1 + 2 + 2x + -1x + 4x + 2y + 1y + 8y = 0

Combine like terms: 1 + 2 = 3
3 + 2x + -1x + 4x + 2y + 1y + 8y = 0

Combine like terms: 2x + -1x = 1x
3 + 1x + 4x + 2y + 1y + 8y = 0

Combine like terms: 1x + 4x = 5x
3 + 5x + 2y + 1y + 8y = 0

Combine like terms: 2y + 1y = 3y
3 + 5x + 3y + 8y = 0

Combine like terms: 3y + 8y = 11y
3 + 5x + 11y = 0

Solving
3 + 5x + 11y = 0

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + 5x + -3 + 11y = 0 + -3

Reorder the terms:
3 + -3 + 5x + 11y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5x + 11y = 0 + -3
5x + 11y = 0 + -3

Combine like terms: 0 + -3 = -3
5x + 11y = -3

Add '-11y' to each side of the equation.
5x + 11y + -11y = -3 + -11y

Combine like terms: 11y + -11y = 0
5x + 0 = -3 + -11y
5x = -3 + -11y

Divide each side by '5'.
x = -0.6 + -2.2y

Simplifying
x = -0.6 + -2.2y

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