(x-2)(y+3)=7

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Solution for (x-2)(y+3)=7 equation:


Simplifying
(x + -2)(y + 3) = 7

Reorder the terms:
(-2 + x)(y + 3) = 7

Reorder the terms:
(-2 + x)(3 + y) = 7

Multiply (-2 + x) * (3 + y)
(-2(3 + y) + x(3 + y)) = 7
((3 * -2 + y * -2) + x(3 + y)) = 7
((-6 + -2y) + x(3 + y)) = 7
(-6 + -2y + (3 * x + y * x)) = 7
(-6 + -2y + (3x + xy)) = 7

Reorder the terms:
(-6 + 3x + xy + -2y) = 7
(-6 + 3x + xy + -2y) = 7

Solving
-6 + 3x + xy + -2y = 7

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 + xy + 6 + -2y = 7 + 6

Reorder the terms:
-6 + 6 + 3x + xy + -2y = 7 + 6

Combine like terms: -6 + 6 = 0
0 + 3x + xy + -2y = 7 + 6
3x + xy + -2y = 7 + 6

Combine like terms: 7 + 6 = 13
3x + xy + -2y = 13

Add '2y' to each side of the equation.
3x + xy + -2y + 2y = 13 + 2y

Combine like terms: -2y + 2y = 0
3x + xy + 0 = 13 + 2y
3x + xy = 13 + 2y

Reorder the terms:
-13 + 3x + xy + -2y = 13 + 2y + -13 + -2y

Reorder the terms:
-13 + 3x + xy + -2y = 13 + -13 + 2y + -2y

Combine like terms: 13 + -13 = 0
-13 + 3x + xy + -2y = 0 + 2y + -2y
-13 + 3x + xy + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
-13 + 3x + xy + -2y = 0

The solution to this equation could not be determined.

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