(x-3y)+(3x-6y)=6-15

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Solution for (x-3y)+(3x-6y)=6-15 equation:


Simplifying
(x + -3y) + (3x + -6y) = 6 + -15

Remove parenthesis around (x + -3y)
x + -3y + (3x + -6y) = 6 + -15

Remove parenthesis around (3x + -6y)
x + -3y + 3x + -6y = 6 + -15

Reorder the terms:
x + 3x + -3y + -6y = 6 + -15

Combine like terms: x + 3x = 4x
4x + -3y + -6y = 6 + -15

Combine like terms: -3y + -6y = -9y
4x + -9y = 6 + -15

Combine like terms: 6 + -15 = -9
4x + -9y = -9

Solving
4x + -9y = -9

Solving for variable 'x'.

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

Add '9y' to each side of the equation.
4x + -9y + 9y = -9 + 9y

Combine like terms: -9y + 9y = 0
4x + 0 = -9 + 9y
4x = -9 + 9y

Divide each side by '4'.
x = -2.25 + 2.25y

Simplifying
x = -2.25 + 2.25y

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