2y+6x+y+x+9+2x=2x+x+15-9

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Solution for 2y+6x+y+x+9+2x=2x+x+15-9 equation:


Simplifying
2y + 6x + y + x + 9 + 2x = 2x + x + 15 + -9

Reorder the terms:
9 + 6x + x + 2x + 2y + y = 2x + x + 15 + -9

Combine like terms: 6x + x = 7x
9 + 7x + 2x + 2y + y = 2x + x + 15 + -9

Combine like terms: 7x + 2x = 9x
9 + 9x + 2y + y = 2x + x + 15 + -9

Combine like terms: 2y + y = 3y
9 + 9x + 3y = 2x + x + 15 + -9

Reorder the terms:
9 + 9x + 3y = 15 + -9 + 2x + x

Combine like terms: 15 + -9 = 6
9 + 9x + 3y = 6 + 2x + x

Combine like terms: 2x + x = 3x
9 + 9x + 3y = 6 + 3x

Solving
9 + 9x + 3y = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9 + 9x + -3x + 3y = 6 + 3x + -3x

Combine like terms: 9x + -3x = 6x
9 + 6x + 3y = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + 6x + 3y = 6 + 0
9 + 6x + 3y = 6

Add '-9' to each side of the equation.
9 + 6x + -9 + 3y = 6 + -9

Reorder the terms:
9 + -9 + 6x + 3y = 6 + -9

Combine like terms: 9 + -9 = 0
0 + 6x + 3y = 6 + -9
6x + 3y = 6 + -9

Combine like terms: 6 + -9 = -3
6x + 3y = -3

Add '-3y' to each side of the equation.
6x + 3y + -3y = -3 + -3y

Combine like terms: 3y + -3y = 0
6x + 0 = -3 + -3y
6x = -3 + -3y

Divide each side by '6'.
x = -0.5 + -0.5y

Simplifying
x = -0.5 + -0.5y

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