5x+2y+2=11+9y-x

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Solution for 5x+2y+2=11+9y-x equation:


Simplifying
5x + 2y + 2 = 11 + 9y + -1x

Reorder the terms:
2 + 5x + 2y = 11 + 9y + -1x

Reorder the terms:
2 + 5x + 2y = 11 + -1x + 9y

Solving
2 + 5x + 2y = 11 + -1x + 9y

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.
2 + 5x + x + 2y = 11 + -1x + x + 9y

Combine like terms: 5x + x = 6x
2 + 6x + 2y = 11 + -1x + x + 9y

Combine like terms: -1x + x = 0
2 + 6x + 2y = 11 + 0 + 9y
2 + 6x + 2y = 11 + 9y

Add '-2' to each side of the equation.
2 + 6x + -2 + 2y = 11 + -2 + 9y

Reorder the terms:
2 + -2 + 6x + 2y = 11 + -2 + 9y

Combine like terms: 2 + -2 = 0
0 + 6x + 2y = 11 + -2 + 9y
6x + 2y = 11 + -2 + 9y

Combine like terms: 11 + -2 = 9
6x + 2y = 9 + 9y

Add '-2y' to each side of the equation.
6x + 2y + -2y = 9 + 9y + -2y

Combine like terms: 2y + -2y = 0
6x + 0 = 9 + 9y + -2y
6x = 9 + 9y + -2y

Combine like terms: 9y + -2y = 7y
6x = 9 + 7y

Divide each side by '6'.
x = 1.5 + 1.166666667y

Simplifying
x = 1.5 + 1.166666667y

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