(9x-4y)-(12x-9y)=0

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Solution for (9x-4y)-(12x-9y)=0 equation: 


Simplifying
(9x + -4y) + -1(12x + -9y) = 0

Remove parenthesis around (9x + -4y)
9x + -4y + -1(12x + -9y) = 0
9x + -4y + (12x * -1 + -9y * -1) = 0
9x + -4y + (-12x + 9y) = 0

Reorder the terms:
9x + -12x + -4y + 9y = 0

Combine like terms: 9x + -12x = -3x
-3x + -4y + 9y = 0

Combine like terms: -4y + 9y = 5y
-3x + 5y = 0

Solving
-3x + 5y = 0

Solving for variable 'x'.

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

Add '-5y' to each side of the equation.
-3x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
-3x + 0 = 0 + -5y
-3x = 0 + -5y
Remove the zero:
-3x = -5y

Divide each side by '-3'.
x = 1.666666667y

Simplifying
x = 1.666666667y

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