2x-y=5x+y

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Solution for 2x-y=5x+y equation:


Simplifying
2x + -1y = 5x + y

Solving
2x + -1y = 5x + y

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2x + -5x + -1y = 5x + -5x + y

Combine like terms: 2x + -5x = -3x
-3x + -1y = 5x + -5x + y

Combine like terms: 5x + -5x = 0
-3x + -1y = 0 + y
-3x + -1y = y

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

Combine like terms: -1y + y = 0
-3x + 0 = y + y
-3x = y + y

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

Divide each side by '-3'.
x = -0.6666666667y

Simplifying
x = -0.6666666667y

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