(X-8)(x+5)=-(x+32)

Solution for (X-8)(x+5)=-(x+32) equation:

Simplifying
(X + -8)(x + 5) = -1(x + 32)

Reorder the terms:
(-8 + X)(x + 5) = -1(x + 32)

Reorder the terms:
(-8 + X)(5 + x) = -1(x + 32)

Multiply (-8 + X) * (5 + x)
(-8(5 + x) + X(5 + x)) = -1(x + 32)
((5 * -8 + x * -8) + X(5 + x)) = -1(x + 32)
((-40 + -8x) + X(5 + x)) = -1(x + 32)
(-40 + -8x + (5 * X + x * X)) = -1(x + 32)
(-40 + -8x + (5X + xX)) = -1(x + 32)

Reorder the terms:
(-40 + 5X + -8x + xX) = -1(x + 32)
(-40 + 5X + -8x + xX) = -1(x + 32)

Reorder the terms:
-40 + 5X + -8x + xX = -1(32 + x)
-40 + 5X + -8x + xX = (32 * -1 + x * -1)
-40 + 5X + -8x + xX = (-32 + -1x)

Solving
-40 + 5X + -8x + xX = -32 + -1x

Solving for variable 'X'.

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

Add '40' to each side of the equation.
-40 + 5X + -8x + 40 + xX = -32 + 40 + -1x

Reorder the terms:
-40 + 40 + 5X + -8x + xX = -32 + 40 + -1x

Combine like terms: -40 + 40 = 0
0 + 5X + -8x + xX = -32 + 40 + -1x
5X + -8x + xX = -32 + 40 + -1x

Combine like terms: -32 + 40 = 8
5X + -8x + xX = 8 + -1x

Add '8x' to each side of the equation.
5X + -8x + 8x + xX = 8 + -1x + 8x

Combine like terms: -8x + 8x = 0
5X + 0 + xX = 8 + -1x + 8x
5X + xX = 8 + -1x + 8x

Combine like terms: -1x + 8x = 7x
5X + xX = 8 + 7x

Reorder the terms:
-8 + 5X + -7x + xX = 8 + 7x + -8 + -7x

Reorder the terms:
-8 + 5X + -7x + xX = 8 + -8 + 7x + -7x

Combine like terms: 8 + -8 = 0
-8 + 5X + -7x + xX = 0 + 7x + -7x
-8 + 5X + -7x + xX = 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + 5X + -7x + xX = 0

The solution to this equation could not be determined.