3x-y=4y+x

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Solution for 3x-y=4y+x equation:


Simplifying
3x + -1y = 4y + x

Reorder the terms:
3x + -1y = x + 4y

Solving
3x + -1y = x + 4y

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 + -1y = x + -1x + 4y

Combine like terms: 3x + -1x = 2x
2x + -1y = x + -1x + 4y

Combine like terms: x + -1x = 0
2x + -1y = 0 + 4y
2x + -1y = 4y

Add 'y' to each side of the equation.
2x + -1y + y = 4y + y

Combine like terms: -1y + y = 0
2x + 0 = 4y + y
2x = 4y + y

Combine like terms: 4y + y = 5y
2x = 5y

Divide each side by '2'.
x = 2.5y

Simplifying
x = 2.5y

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