(x+8)x=x+5(2x-8)

Solution for (x+8)x=x+5(2x-8) equation:

Simplifying
(x + 8) * x = x + 5(2x + -8)

Reorder the terms:
(8 + x) * x = x + 5(2x + -8)

Reorder the terms for easier multiplication:
x(8 + x) = x + 5(2x + -8)
(8 * x + x * x) = x + 5(2x + -8)
(8x + x2) = x + 5(2x + -8)

Reorder the terms:
8x + x2 = x + 5(-8 + 2x)
8x + x2 = x + (-8 * 5 + 2x * 5)
8x + x2 = x + (-40 + 10x)

Reorder the terms:
8x + x2 = -40 + x + 10x

Combine like terms: x + 10x = 11x
8x + x2 = -40 + 11x

Solving
8x + x2 = -40 + 11x

Solving for variable 'x'.

Reorder the terms:
40 + 8x + -11x + x2 = -40 + 11x + 40 + -11x

Combine like terms: 8x + -11x = -3x
40 + -3x + x2 = -40 + 11x + 40 + -11x

Reorder the terms:
40 + -3x + x2 = -40 + 40 + 11x + -11x

Combine like terms: -40 + 40 = 0
40 + -3x + x2 = 0 + 11x + -11x
40 + -3x + x2 = 11x + -11x

Combine like terms: 11x + -11x = 0
40 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-40' to each side of the equation.
40 + -3x + -40 + x2 = 0 + -40

Reorder the terms:
40 + -40 + -3x + x2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -3x + x2 = 0 + -40
-3x + x2 = 0 + -40

Combine like terms: 0 + -40 = -40
-3x + x2 = -40

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -40 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -40 + 2.25

Combine like terms: -40 + 2.25 = -37.75
2.25 + -3x + x2 = -37.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -37.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.