(x+2)(y-3)=10

Solution for (x+2)(y-3)=10 equation:

Simplifying
(x + 2)(y + -3) = 10

Reorder the terms:
(2 + x)(y + -3) = 10

Reorder the terms:
(2 + x)(-3 + y) = 10

Multiply (2 + x) * (-3 + y)
(2(-3 + y) + x(-3 + y)) = 10
((-3 * 2 + y * 2) + x(-3 + y)) = 10
((-6 + 2y) + x(-3 + y)) = 10
(-6 + 2y + (-3 * x + y * x)) = 10
(-6 + 2y + (-3x + xy)) = 10

Reorder the terms:
(-6 + -3x + xy + 2y) = 10
(-6 + -3x + xy + 2y) = 10

Solving
-6 + -3x + xy + 2y = 10

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 = 10 + 6

Reorder the terms:
-6 + 6 + -3x + xy + 2y = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -3x + xy + 2y = 10 + 6
-3x + xy + 2y = 10 + 6

Combine like terms: 10 + 6 = 16
-3x + xy + 2y = 16

Add '-2y' to each side of the equation.
-3x + xy + 2y + -2y = 16 + -2y

Combine like terms: 2y + -2y = 0
-3x + xy + 0 = 16 + -2y
-3x + xy = 16 + -2y

Reorder the terms:
-16 + -3x + xy + 2y = 16 + -2y + -16 + 2y

Reorder the terms:
-16 + -3x + xy + 2y = 16 + -16 + -2y + 2y

Combine like terms: 16 + -16 = 0
-16 + -3x + xy + 2y = 0 + -2y + 2y
-16 + -3x + xy + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
-16 + -3x + xy + 2y = 0

The solution to this equation could not be determined.