3x+2y=8y-x

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Solution for 3x+2y=8y-x equation:


Simplifying
3x + 2y = 8y + -1x

Reorder the terms:
3x + 2y = -1x + 8y

Solving
3x + 2y = -1x + 8y

Solving for variable 'x'.

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

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

Combine like terms: 3x + x = 4x
4x + 2y = -1x + x + 8y

Combine like terms: -1x + x = 0
4x + 2y = 0 + 8y
4x + 2y = 8y

Add '-2y' to each side of the equation.
4x + 2y + -2y = 8y + -2y

Combine like terms: 2y + -2y = 0
4x + 0 = 8y + -2y
4x = 8y + -2y

Combine like terms: 8y + -2y = 6y
4x = 6y

Divide each side by '4'.
x = 1.5y

Simplifying
x = 1.5y

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