(-9+2x+(-3y))-(-3x+3y-6)=0

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Solution for (-9+2x+(-3y))-(-3x+3y-6)=0 equation:


Simplifying
(-9 + 2x + (-3y)) + -1(-3x + 3y + -6) = 0

Remove parenthesis around (-9 + 2x + (-3y))
-9 + 2x + (-3y) + -1(-3x + 3y + -6) = 0

Reorder the terms:
-9 + 2x + (-3y) + -1(-6 + -3x + 3y) = 0
-9 + 2x + (-3y) + (-6 * -1 + -3x * -1 + 3y * -1) = 0
-9 + 2x + (-3y) + (6 + 3x + -3y) = 0

Reorder the terms:
-9 + 6 + 2x + 3x + (-3y) + -3y = 0

Combine like terms: -9 + 6 = -3
-3 + 2x + 3x + (-3y) + -3y = 0

Combine like terms: 2x + 3x = 5x
-3 + 5x + (-3y) + -3y = 0

Combine like terms: (-3y) + -3y = -6y
-3 + 5x + -6y = 0

Solving
-3 + 5x + -6y = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 5x + 3 + -6y = 0 + 3

Reorder the terms:
-3 + 3 + 5x + -6y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5x + -6y = 0 + 3
5x + -6y = 0 + 3

Combine like terms: 0 + 3 = 3
5x + -6y = 3

Add '6y' to each side of the equation.
5x + -6y + 6y = 3 + 6y

Combine like terms: -6y + 6y = 0
5x + 0 = 3 + 6y
5x = 3 + 6y

Divide each side by '5'.
x = 0.6 + 1.2y

Simplifying
x = 0.6 + 1.2y

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