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

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


Simplifying
2x + -1y + -1(x + 3y) + 2(2x + 3y) = 0
2x + -1y + (x * -1 + 3y * -1) + 2(2x + 3y) = 0
2x + -1y + (-1x + -3y) + 2(2x + 3y) = 0
2x + -1y + -1x + -3y + (2x * 2 + 3y * 2) = 0
2x + -1y + -1x + -3y + (4x + 6y) = 0

Reorder the terms:
2x + -1x + 4x + -1y + -3y + 6y = 0

Combine like terms: 2x + -1x = 1x
1x + 4x + -1y + -3y + 6y = 0

Combine like terms: 1x + 4x = 5x
5x + -1y + -3y + 6y = 0

Combine like terms: -1y + -3y = -4y
5x + -4y + 6y = 0

Combine like terms: -4y + 6y = 2y
5x + 2y = 0

Solving
5x + 2y = 0

Solving for variable 'x'.

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

Add '-2y' to each side of the equation.
5x + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0
5x + 0 = 0 + -2y
5x = 0 + -2y
Remove the zero:
5x = -2y

Divide each side by '5'.
x = -0.4y

Simplifying
x = -0.4y

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