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

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


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

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

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

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

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

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

Solving
3x + -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.
3x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
3x + 0 = 0 + 2y
3x = 0 + 2y
Remove the zero:
3x = 2y

Divide each side by '3'.
x = 0.6666666667y

Simplifying
x = 0.6666666667y

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