2x+y+5=-8+5y-x

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Solution for 2x+y+5=-8+5y-x equation:


Simplifying
2x + y + 5 = -8 + 5y + -1x

Reorder the terms:
5 + 2x + y = -8 + 5y + -1x

Reorder the terms:
5 + 2x + y = -8 + -1x + 5y

Solving
5 + 2x + y = -8 + -1x + 5y

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.
5 + 2x + x + y = -8 + -1x + x + 5y

Combine like terms: 2x + x = 3x
5 + 3x + y = -8 + -1x + x + 5y

Combine like terms: -1x + x = 0
5 + 3x + y = -8 + 0 + 5y
5 + 3x + y = -8 + 5y

Add '-5' to each side of the equation.
5 + 3x + -5 + y = -8 + -5 + 5y

Reorder the terms:
5 + -5 + 3x + y = -8 + -5 + 5y

Combine like terms: 5 + -5 = 0
0 + 3x + y = -8 + -5 + 5y
3x + y = -8 + -5 + 5y

Combine like terms: -8 + -5 = -13
3x + y = -13 + 5y

Add '-1y' to each side of the equation.
3x + y + -1y = -13 + 5y + -1y

Combine like terms: y + -1y = 0
3x + 0 = -13 + 5y + -1y
3x = -13 + 5y + -1y

Combine like terms: 5y + -1y = 4y
3x = -13 + 4y

Divide each side by '3'.
x = -4.333333333 + 1.333333333y

Simplifying
x = -4.333333333 + 1.333333333y

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