2y+3x-6=9

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Solution for 2y+3x-6=9 equation:


Simplifying
2y + 3x + -6 = 9

Reorder the terms:
-6 + 3x + 2y = 9

Solving
-6 + 3x + 2y = 9

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 3x + 6 + 2y = 9 + 6

Reorder the terms:
-6 + 6 + 3x + 2y = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 3x + 2y = 9 + 6
3x + 2y = 9 + 6

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

Add '-2y' to each side of the equation.
3x + 2y + -2y = 15 + -2y

Combine like terms: 2y + -2y = 0
3x + 0 = 15 + -2y
3x = 15 + -2y

Divide each side by '3'.
x = 5 + -0.6666666667y

Simplifying
x = 5 + -0.6666666667y

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