4y+5x=12x-6y+3

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Solution for 4y+5x=12x-6y+3 equation:


Simplifying
4y + 5x = 12x + -6y + 3

Reorder the terms:
5x + 4y = 12x + -6y + 3

Reorder the terms:
5x + 4y = 3 + 12x + -6y

Solving
5x + 4y = 3 + 12x + -6y

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
5x + -12x + 4y = 3 + 12x + -12x + -6y

Combine like terms: 5x + -12x = -7x
-7x + 4y = 3 + 12x + -12x + -6y

Combine like terms: 12x + -12x = 0
-7x + 4y = 3 + 0 + -6y
-7x + 4y = 3 + -6y

Add '-4y' to each side of the equation.
-7x + 4y + -4y = 3 + -6y + -4y

Combine like terms: 4y + -4y = 0
-7x + 0 = 3 + -6y + -4y
-7x = 3 + -6y + -4y

Combine like terms: -6y + -4y = -10y
-7x = 3 + -10y

Divide each side by '-7'.
x = -0.4285714286 + 1.428571429y

Simplifying
x = -0.4285714286 + 1.428571429y

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