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

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


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

Remove parenthesis around (X + y)
X + y + -3(x + -1y) = 4y + -2x
X + y + (x * -3 + -1y * -3) = 4y + -2x
X + y + (-3x + 3y) = 4y + -2x

Reorder the terms:
X + -3x + y + 3y = 4y + -2x

Combine like terms: y + 3y = 4y
X + -3x + 4y = 4y + -2x

Reorder the terms:
X + -3x + 4y = -2x + 4y

Add '-4y' to each side of the equation.
X + -3x + 4y + -4y = -2x + 4y + -4y

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

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

Solving
X + -3x = -2x

Solving for variable 'X'.

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

Add '3x' to each side of the equation.
X + -3x + 3x = -2x + 3x

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

Combine like terms: -2x + 3x = 1x
X = 1x

Simplifying
X = 1x

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