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

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


Simplifying
(2x + 2y) + (3x + 6y) = 3 + -6

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

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

Reorder the terms:
2x + 3x + 2y + 6y = 3 + -6

Combine like terms: 2x + 3x = 5x
5x + 2y + 6y = 3 + -6

Combine like terms: 2y + 6y = 8y
5x + 8y = 3 + -6

Combine like terms: 3 + -6 = -3
5x + 8y = -3

Solving
5x + 8y = -3

Solving for variable 'x'.

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

Add '-8y' to each side of the equation.
5x + 8y + -8y = -3 + -8y

Combine like terms: 8y + -8y = 0
5x + 0 = -3 + -8y
5x = -3 + -8y

Divide each side by '5'.
x = -0.6 + -1.6y

Simplifying
x = -0.6 + -1.6y

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