2x+y=x-5y

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


Simplifying
2x + y = x + -5y

Solving
2x + y = x + -5y

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

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

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

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

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

Combine like terms: -5y + -1y = -6y
1x = -6y

Divide each side by '1'.
x = -6y

Simplifying
x = -6y

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