x(y-2)-y(x-3)=14

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Solution for x(y-2)-y(x-3)=14 equation:


Simplifying
x(y + -2) + -1y(x + -3) = 14

Reorder the terms:
x(-2 + y) + -1y(x + -3) = 14
(-2 * x + y * x) + -1y(x + -3) = 14
(-2x + xy) + -1y(x + -3) = 14

Reorder the terms:
-2x + xy + -1y(-3 + x) = 14
-2x + xy + (-3 * -1y + x * -1y) = 14

Reorder the terms:
-2x + xy + (-1xy + 3y) = 14
-2x + xy + (-1xy + 3y) = 14

Combine like terms: xy + -1xy = 0
-2x + 0 + 3y = 14
-2x + 3y = 14

Solving
-2x + 3y = 14

Solving for variable 'x'.

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

Add '-3y' to each side of the equation.
-2x + 3y + -3y = 14 + -3y

Combine like terms: 3y + -3y = 0
-2x + 0 = 14 + -3y
-2x = 14 + -3y

Divide each side by '-2'.
x = -7 + 1.5y

Simplifying
x = -7 + 1.5y

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