(5x-12)3y=(28-4y)23

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Solution for (5x-12)3y=(28-4y)23 equation: 


Simplifying
(5x + -12) * 3y = (28 + -4y) * 23

Reorder the terms:
(-12 + 5x) * 3y = (28 + -4y) * 23

Reorder the terms for easier multiplication:
3y(-12 + 5x) = (28 + -4y) * 23
(-12 * 3y + 5x * 3y) = (28 + -4y) * 23

Reorder the terms:
(15xy + -36y) = (28 + -4y) * 23
(15xy + -36y) = (28 + -4y) * 23

Reorder the terms for easier multiplication:
15xy + -36y = 23(28 + -4y)
15xy + -36y = (28 * 23 + -4y * 23)
15xy + -36y = (644 + -92y)

Solving
15xy + -36y = 644 + -92y

Solving for variable 'x'.

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

Add '36y' to each side of the equation.
15xy + -36y + 36y = 644 + -92y + 36y

Combine like terms: -36y + 36y = 0
15xy + 0 = 644 + -92y + 36y
15xy = 644 + -92y + 36y

Combine like terms: -92y + 36y = -56y
15xy = 644 + -56y

Divide each side by '15y'.
x = 42.93333333y-1 + -3.733333333

Simplifying
x = 42.93333333y-1 + -3.733333333

Reorder the terms:
x = -3.733333333 + 42.93333333y-1

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