2x+y+3=3+5y-x

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Solution for 2x+y+3=3+5y-x equation: 


Simplifying
2x + y + 3 = 3 + 5y + -1x

Reorder the terms:
3 + 2x + y = 3 + 5y + -1x

Reorder the terms:
3 + 2x + y = 3 + -1x + 5y

Add '-3' to each side of the equation.
3 + 2x + -3 + y = 3 + -1x + -3 + 5y

Reorder the terms:
3 + -3 + 2x + y = 3 + -1x + -3 + 5y

Combine like terms: 3 + -3 = 0
0 + 2x + y = 3 + -1x + -3 + 5y
2x + y = 3 + -1x + -3 + 5y

Reorder the terms:
2x + y = 3 + -3 + -1x + 5y

Combine like terms: 3 + -3 = 0
2x + y = 0 + -1x + 5y
2x + y = -1x + 5y

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

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

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

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

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

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

Divide each side by '3'.
x = 1.333333333y

Simplifying
x = 1.333333333y

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