(2x-5)(x+1)+10=(2x+5)(x-1)

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Solution for (2x-5)(x+1)+10=(2x+5)(x-1) equation: 


Simplifying
(2x + -5)(x + 1) + 10 = (2x + 5)(x + -1)

Reorder the terms:
(-5 + 2x)(x + 1) + 10 = (2x + 5)(x + -1)

Reorder the terms:
(-5 + 2x)(1 + x) + 10 = (2x + 5)(x + -1)

Multiply (-5 + 2x) * (1 + x)
(-5(1 + x) + 2x * (1 + x)) + 10 = (2x + 5)(x + -1)
((1 * -5 + x * -5) + 2x * (1 + x)) + 10 = (2x + 5)(x + -1)
((-5 + -5x) + 2x * (1 + x)) + 10 = (2x + 5)(x + -1)
(-5 + -5x + (1 * 2x + x * 2x)) + 10 = (2x + 5)(x + -1)
(-5 + -5x + (2x + 2x2)) + 10 = (2x + 5)(x + -1)

Combine like terms: -5x + 2x = -3x
(-5 + -3x + 2x2) + 10 = (2x + 5)(x + -1)

Reorder the terms:
-5 + 10 + -3x + 2x2 = (2x + 5)(x + -1)

Combine like terms: -5 + 10 = 5
5 + -3x + 2x2 = (2x + 5)(x + -1)

Reorder the terms:
5 + -3x + 2x2 = (5 + 2x)(x + -1)

Reorder the terms:
5 + -3x + 2x2 = (5 + 2x)(-1 + x)

Multiply (5 + 2x) * (-1 + x)
5 + -3x + 2x2 = (5(-1 + x) + 2x * (-1 + x))
5 + -3x + 2x2 = ((-1 * 5 + x * 5) + 2x * (-1 + x))
5 + -3x + 2x2 = ((-5 + 5x) + 2x * (-1 + x))
5 + -3x + 2x2 = (-5 + 5x + (-1 * 2x + x * 2x))
5 + -3x + 2x2 = (-5 + 5x + (-2x + 2x2))

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

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

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

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

Solving
5 + -3x = -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.
5 + -3x + -3x = -5 + 3x + -3x

Combine like terms: -3x + -3x = -6x
5 + -6x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -6x = -5 + 0
5 + -6x = -5

Add '-5' to each side of the equation.
5 + -5 + -6x = -5 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = -5 + -5
-6x = -5 + -5

Combine like terms: -5 + -5 = -10
-6x = -10

Divide each side by '-6'.
x = 1.666666667

Simplifying
x = 1.666666667

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