3x+2y=6y+x

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Solution for 3x+2y=6y+x equation:


Simplifying
3x + 2y = 6y + x

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

Solving
3x + 2y = x + 6y

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3x + -1x + 2y = x + -1x + 6y

Combine like terms: 3x + -1x = 2x
2x + 2y = x + -1x + 6y

Combine like terms: x + -1x = 0
2x + 2y = 0 + 6y
2x + 2y = 6y

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

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

Combine like terms: 6y + -2y = 4y
2x = 4y

Divide each side by '2'.
x = 2y

Simplifying
x = 2y

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