6x+36+4y-18-x+2y-4=2x+9+y

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Solution for 6x+36+4y-18-x+2y-4=2x+9+y equation:


Simplifying
6x + 36 + 4y + -18 + -1x + 2y + -4 = 2x + 9 + y

Reorder the terms:
36 + -18 + -4 + 6x + -1x + 4y + 2y = 2x + 9 + y

Combine like terms: 36 + -18 = 18
18 + -4 + 6x + -1x + 4y + 2y = 2x + 9 + y

Combine like terms: 18 + -4 = 14
14 + 6x + -1x + 4y + 2y = 2x + 9 + y

Combine like terms: 6x + -1x = 5x
14 + 5x + 4y + 2y = 2x + 9 + y

Combine like terms: 4y + 2y = 6y
14 + 5x + 6y = 2x + 9 + y

Reorder the terms:
14 + 5x + 6y = 9 + 2x + y

Solving
14 + 5x + 6y = 9 + 2x + y

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
14 + 5x + -2x + 6y = 9 + 2x + -2x + y

Combine like terms: 5x + -2x = 3x
14 + 3x + 6y = 9 + 2x + -2x + y

Combine like terms: 2x + -2x = 0
14 + 3x + 6y = 9 + 0 + y
14 + 3x + 6y = 9 + y

Add '-14' to each side of the equation.
14 + 3x + -14 + 6y = 9 + -14 + y

Reorder the terms:
14 + -14 + 3x + 6y = 9 + -14 + y

Combine like terms: 14 + -14 = 0
0 + 3x + 6y = 9 + -14 + y
3x + 6y = 9 + -14 + y

Combine like terms: 9 + -14 = -5
3x + 6y = -5 + y

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

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

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

Divide each side by '3'.
x = -1.666666667 + -1.666666667y

Simplifying
x = -1.666666667 + -1.666666667y

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