2(5x-y)-(-x+5y)+2+(x-y)+(-2x+3y)+2=

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


Simplifying
2(5x + -1y) + -1(-1x + 5y) + 2 + (x + -1y) + (-2x + 3y) + 2 = 0
(5x * 2 + -1y * 2) + -1(-1x + 5y) + 2 + (x + -1y) + (-2x + 3y) + 2 = 0
(10x + -2y) + -1(-1x + 5y) + 2 + (x + -1y) + (-2x + 3y) + 2 = 0
10x + -2y + (-1x * -1 + 5y * -1) + 2 + (x + -1y) + (-2x + 3y) + 2 = 0
10x + -2y + (1x + -5y) + 2 + (x + -1y) + (-2x + 3y) + 2 = 0

Remove parenthesis around (x + -1y)
10x + -2y + 1x + -5y + 2 + x + -1y + (-2x + 3y) + 2 = 0

Remove parenthesis around (-2x + 3y)
10x + -2y + 1x + -5y + 2 + x + -1y + -2x + 3y + 2 = 0

Reorder the terms:
2 + 2 + 10x + 1x + x + -2x + -2y + -5y + -1y + 3y = 0

Combine like terms: 2 + 2 = 4
4 + 10x + 1x + x + -2x + -2y + -5y + -1y + 3y = 0

Combine like terms: 10x + 1x = 11x
4 + 11x + x + -2x + -2y + -5y + -1y + 3y = 0

Combine like terms: 11x + x = 12x
4 + 12x + -2x + -2y + -5y + -1y + 3y = 0

Combine like terms: 12x + -2x = 10x
4 + 10x + -2y + -5y + -1y + 3y = 0

Combine like terms: -2y + -5y = -7y
4 + 10x + -7y + -1y + 3y = 0

Combine like terms: -7y + -1y = -8y
4 + 10x + -8y + 3y = 0

Combine like terms: -8y + 3y = -5y
4 + 10x + -5y = 0

Solving
4 + 10x + -5y = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + 10x + -4 + -5y = 0 + -4

Reorder the terms:
4 + -4 + 10x + -5y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 10x + -5y = 0 + -4
10x + -5y = 0 + -4

Combine like terms: 0 + -4 = -4
10x + -5y = -4

Add '5y' to each side of the equation.
10x + -5y + 5y = -4 + 5y

Combine like terms: -5y + 5y = 0
10x + 0 = -4 + 5y
10x = -4 + 5y

Divide each side by '10'.
x = -0.4 + 0.5y

Simplifying
x = -0.4 + 0.5y

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