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

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


Simplifying
(3x + y) + (x + 2y) + (3x + y) = 0

Remove parenthesis around (3x + y)
3x + y + (x + 2y) + (3x + y) = 0

Remove parenthesis around (x + 2y)
3x + y + x + 2y + (3x + y) = 0

Remove parenthesis around (3x + y)
3x + y + x + 2y + 3x + y = 0

Reorder the terms:
3x + x + 3x + y + 2y + y = 0

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

Combine like terms: 4x + 3x = 7x
7x + y + 2y + y = 0

Combine like terms: y + 2y = 3y
7x + 3y + y = 0

Combine like terms: 3y + y = 4y
7x + 4y = 0

Solving
7x + 4y = 0

Solving for variable 'x'.

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

Add '-4y' to each side of the equation.
7x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
7x + 0 = 0 + -4y
7x = 0 + -4y
Remove the zero:
7x = -4y

Divide each side by '7'.
x = -0.5714285714y

Simplifying
x = -0.5714285714y

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