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

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


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

Reorder the terms:
x + 3y + 2(-9 + 2x + -3y) = 0
x + 3y + (-9 * 2 + 2x * 2 + -3y * 2) = 0
x + 3y + (-18 + 4x + -6y) = 0

Reorder the terms:
-18 + x + 4x + 3y + -6y = 0

Combine like terms: x + 4x = 5x
-18 + 5x + 3y + -6y = 0

Combine like terms: 3y + -6y = -3y
-18 + 5x + -3y = 0

Solving
-18 + 5x + -3y = 0

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 5x + 18 + -3y = 0 + 18

Reorder the terms:
-18 + 18 + 5x + -3y = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 5x + -3y = 0 + 18
5x + -3y = 0 + 18

Combine like terms: 0 + 18 = 18
5x + -3y = 18

Add '3y' to each side of the equation.
5x + -3y + 3y = 18 + 3y

Combine like terms: -3y + 3y = 0
5x + 0 = 18 + 3y
5x = 18 + 3y

Divide each side by '5'.
x = 3.6 + 0.6y

Simplifying
x = 3.6 + 0.6y

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