5(x+y)-x+y=-6

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Solution for 5(x+y)-x+y=-6 equation:


Simplifying
5(x + y) + -1x + y = -6
(x * 5 + y * 5) + -1x + y = -6
(5x + 5y) + -1x + y = -6

Reorder the terms:
5x + -1x + 5y + y = -6

Combine like terms: 5x + -1x = 4x
4x + 5y + y = -6

Combine like terms: 5y + y = 6y
4x + 6y = -6

Solving
4x + 6y = -6

Solving for variable 'x'.

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

Add '-6y' to each side of the equation.
4x + 6y + -6y = -6 + -6y

Combine like terms: 6y + -6y = 0
4x + 0 = -6 + -6y
4x = -6 + -6y

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

Simplifying
x = -1.5 + -1.5y

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