X-2y-1dx+3x-6y+2dy=0

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Solution for X-2y-1dx+3x-6y+2dy=0 equation:


Simplifying
X + -2y + -1dx + 3x + -6y + 2dy = 0

Reorder the terms:
X + -1dx + 2dy + 3x + -2y + -6y = 0

Combine like terms: -2y + -6y = -8y
X + -1dx + 2dy + 3x + -8y = 0

Solving
X + -1dx + 2dy + 3x + -8y = 0

Solving for variable 'X'.

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

Add 'dx' to each side of the equation.
X + -1dx + 2dy + 3x + dx + -8y = 0 + dx

Reorder the terms:
X + -1dx + dx + 2dy + 3x + -8y = 0 + dx

Combine like terms: -1dx + dx = 0
X + 0 + 2dy + 3x + -8y = 0 + dx
X + 2dy + 3x + -8y = 0 + dx
Remove the zero:
X + 2dy + 3x + -8y = dx

Add '-2dy' to each side of the equation.
X + 2dy + 3x + -2dy + -8y = dx + -2dy

Reorder the terms:
X + 2dy + -2dy + 3x + -8y = dx + -2dy

Combine like terms: 2dy + -2dy = 0
X + 0 + 3x + -8y = dx + -2dy
X + 3x + -8y = dx + -2dy

Add '-3x' to each side of the equation.
X + 3x + -3x + -8y = dx + -2dy + -3x

Combine like terms: 3x + -3x = 0
X + 0 + -8y = dx + -2dy + -3x
X + -8y = dx + -2dy + -3x

Add '8y' to each side of the equation.
X + -8y + 8y = dx + -2dy + -3x + 8y

Combine like terms: -8y + 8y = 0
X + 0 = dx + -2dy + -3x + 8y
X = dx + -2dy + -3x + 8y

Simplifying
X = dx + -2dy + -3x + 8y

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