(9y-2x)=(2x-y)

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Solution for (9y-2x)=(2x-y) equation:


Simplifying
(9y + -2x) = (2x + -1y)

Reorder the terms:
(-2x + 9y) = (2x + -1y)

Remove parenthesis around (-2x + 9y)
-2x + 9y = (2x + -1y)

Remove parenthesis around (2x + -1y)
-2x + 9y = 2x + -1y

Solving
-2x + 9y = 2x + -1y

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.
-2x + -2x + 9y = 2x + -2x + -1y

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

Combine like terms: 2x + -2x = 0
-4x + 9y = 0 + -1y
-4x + 9y = -1y

Add '-9y' to each side of the equation.
-4x + 9y + -9y = -1y + -9y

Combine like terms: 9y + -9y = 0
-4x + 0 = -1y + -9y
-4x = -1y + -9y

Combine like terms: -1y + -9y = -10y
-4x = -10y

Divide each side by '-4'.
x = 2.5y

Simplifying
x = 2.5y

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