6x-8x+8-y+9y=(x+6y-3)

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Solution for 6x-8x+8-y+9y=(x+6y-3) equation:


Simplifying
6x + -8x + 8 + -1y + 9y = (x + 6y + -3)

Reorder the terms:
8 + 6x + -8x + -1y + 9y = (x + 6y + -3)

Combine like terms: 6x + -8x = -2x
8 + -2x + -1y + 9y = (x + 6y + -3)

Combine like terms: -1y + 9y = 8y
8 + -2x + 8y = (x + 6y + -3)

Reorder the terms:
8 + -2x + 8y = (-3 + x + 6y)

Remove parenthesis around (-3 + x + 6y)
8 + -2x + 8y = -3 + x + 6y

Solving
8 + -2x + 8y = -3 + x + 6y

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + -2x + -1x + 8y = -3 + x + -1x + 6y

Combine like terms: -2x + -1x = -3x
8 + -3x + 8y = -3 + x + -1x + 6y

Combine like terms: x + -1x = 0
8 + -3x + 8y = -3 + 0 + 6y
8 + -3x + 8y = -3 + 6y

Add '-8' to each side of the equation.
8 + -3x + -8 + 8y = -3 + -8 + 6y

Reorder the terms:
8 + -8 + -3x + 8y = -3 + -8 + 6y

Combine like terms: 8 + -8 = 0
0 + -3x + 8y = -3 + -8 + 6y
-3x + 8y = -3 + -8 + 6y

Combine like terms: -3 + -8 = -11
-3x + 8y = -11 + 6y

Add '-8y' to each side of the equation.
-3x + 8y + -8y = -11 + 6y + -8y

Combine like terms: 8y + -8y = 0
-3x + 0 = -11 + 6y + -8y
-3x = -11 + 6y + -8y

Combine like terms: 6y + -8y = -2y
-3x = -11 + -2y

Divide each side by '-3'.
x = 3.666666667 + 0.6666666667y

Simplifying
x = 3.666666667 + 0.6666666667y

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