(x+2)(2x-8)=(x+1)(2x-5)

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Solution for (x+2)(2x-8)=(x+1)(2x-5) equation: 


Simplifying
(x + 2)(2x + -8) = (x + 1)(2x + -5)

Reorder the terms:
(2 + x)(2x + -8) = (x + 1)(2x + -5)

Reorder the terms:
(2 + x)(-8 + 2x) = (x + 1)(2x + -5)

Multiply (2 + x) * (-8 + 2x)
(2(-8 + 2x) + x(-8 + 2x)) = (x + 1)(2x + -5)
((-8 * 2 + 2x * 2) + x(-8 + 2x)) = (x + 1)(2x + -5)
((-16 + 4x) + x(-8 + 2x)) = (x + 1)(2x + -5)
(-16 + 4x + (-8 * x + 2x * x)) = (x + 1)(2x + -5)
(-16 + 4x + (-8x + 2x2)) = (x + 1)(2x + -5)

Combine like terms: 4x + -8x = -4x
(-16 + -4x + 2x2) = (x + 1)(2x + -5)

Reorder the terms:
-16 + -4x + 2x2 = (1 + x)(2x + -5)

Reorder the terms:
-16 + -4x + 2x2 = (1 + x)(-5 + 2x)

Multiply (1 + x) * (-5 + 2x)
-16 + -4x + 2x2 = (1(-5 + 2x) + x(-5 + 2x))
-16 + -4x + 2x2 = ((-5 * 1 + 2x * 1) + x(-5 + 2x))
-16 + -4x + 2x2 = ((-5 + 2x) + x(-5 + 2x))
-16 + -4x + 2x2 = (-5 + 2x + (-5 * x + 2x * x))
-16 + -4x + 2x2 = (-5 + 2x + (-5x + 2x2))

Combine like terms: 2x + -5x = -3x
-16 + -4x + 2x2 = (-5 + -3x + 2x2)

Add '-2x2' to each side of the equation.
-16 + -4x + 2x2 + -2x2 = -5 + -3x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-16 + -4x + 0 = -5 + -3x + 2x2 + -2x2
-16 + -4x = -5 + -3x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-16 + -4x = -5 + -3x + 0
-16 + -4x = -5 + -3x

Solving
-16 + -4x = -5 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-16 + -4x + 3x = -5 + -3x + 3x

Combine like terms: -4x + 3x = -1x
-16 + -1x = -5 + -3x + 3x

Combine like terms: -3x + 3x = 0
-16 + -1x = -5 + 0
-16 + -1x = -5

Add '16' to each side of the equation.
-16 + 16 + -1x = -5 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = -5 + 16
-1x = -5 + 16

Combine like terms: -5 + 16 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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