(x-2)(x+3)=(x+5)

Solution for (x-2)(x+3)=(x+5) equation:

Simplifying
(x + -2)(x + 3) = (x + 5)

Reorder the terms:
(-2 + x)(x + 3) = (x + 5)

Reorder the terms:
(-2 + x)(3 + x) = (x + 5)

Multiply (-2 + x) * (3 + x)
(-2(3 + x) + x(3 + x)) = (x + 5)
((3 * -2 + x * -2) + x(3 + x)) = (x + 5)
((-6 + -2x) + x(3 + x)) = (x + 5)
(-6 + -2x + (3 * x + x * x)) = (x + 5)
(-6 + -2x + (3x + x2)) = (x + 5)

Combine like terms: -2x + 3x = 1x
(-6 + 1x + x2) = (x + 5)

Reorder the terms:
-6 + 1x + x2 = (5 + x)

Remove parenthesis around (5 + x)
-6 + 1x + x2 = 5 + x

Solving
-6 + 1x + x2 = 5 + x

Solving for variable 'x'.

Reorder the terms:
-6 + -5 + 1x + -1x + x2 = 5 + x + -5 + -1x

Combine like terms: -6 + -5 = -11
-11 + 1x + -1x + x2 = 5 + x + -5 + -1x

Combine like terms: 1x + -1x = 0
-11 + 0 + x2 = 5 + x + -5 + -1x
-11 + x2 = 5 + x + -5 + -1x

Reorder the terms:
-11 + x2 = 5 + -5 + x + -1x

Combine like terms: 5 + -5 = 0
-11 + x2 = 0 + x + -1x
-11 + x2 = x + -1x

Combine like terms: x + -1x = 0
-11 + x2 = 0

The solution to this equation could not be determined.