X+(x-y)=6x-6y

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Solution for X+(x-y)=6x-6y equation:


Simplifying
X + (x + -1y) = 6x + -6y

Remove parenthesis around (x + -1y)
X + x + -1y = 6x + -6y

Solving
X + x + -1y = 6x + -6y

Solving for variable 'X'.

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

Add '-1x' to each side of the equation.
X + x + -1x + -1y = 6x + -1x + -6y

Combine like terms: x + -1x = 0
X + 0 + -1y = 6x + -1x + -6y
X + -1y = 6x + -1x + -6y

Combine like terms: 6x + -1x = 5x
X + -1y = 5x + -6y

Add 'y' to each side of the equation.
X + -1y + y = 5x + -6y + y

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

Combine like terms: -6y + y = -5y
X = 5x + -5y

Simplifying
X = 5x + -5y

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