(2x-8)(3x-10)=(2x-5)(3x-5)

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Solution for (2x-8)(3x-10)=(2x-5)(3x-5) equation: 


Simplifying
(2x + -8)(3x + -10) = (2x + -5)(3x + -5)

Reorder the terms:
(-8 + 2x)(3x + -10) = (2x + -5)(3x + -5)

Reorder the terms:
(-8 + 2x)(-10 + 3x) = (2x + -5)(3x + -5)

Multiply (-8 + 2x) * (-10 + 3x)
(-8(-10 + 3x) + 2x * (-10 + 3x)) = (2x + -5)(3x + -5)
((-10 * -8 + 3x * -8) + 2x * (-10 + 3x)) = (2x + -5)(3x + -5)
((80 + -24x) + 2x * (-10 + 3x)) = (2x + -5)(3x + -5)
(80 + -24x + (-10 * 2x + 3x * 2x)) = (2x + -5)(3x + -5)
(80 + -24x + (-20x + 6x2)) = (2x + -5)(3x + -5)

Combine like terms: -24x + -20x = -44x
(80 + -44x + 6x2) = (2x + -5)(3x + -5)

Reorder the terms:
80 + -44x + 6x2 = (-5 + 2x)(3x + -5)

Reorder the terms:
80 + -44x + 6x2 = (-5 + 2x)(-5 + 3x)

Multiply (-5 + 2x) * (-5 + 3x)
80 + -44x + 6x2 = (-5(-5 + 3x) + 2x * (-5 + 3x))
80 + -44x + 6x2 = ((-5 * -5 + 3x * -5) + 2x * (-5 + 3x))
80 + -44x + 6x2 = ((25 + -15x) + 2x * (-5 + 3x))
80 + -44x + 6x2 = (25 + -15x + (-5 * 2x + 3x * 2x))
80 + -44x + 6x2 = (25 + -15x + (-10x + 6x2))

Combine like terms: -15x + -10x = -25x
80 + -44x + 6x2 = (25 + -25x + 6x2)

Add '-6x2' to each side of the equation.
80 + -44x + 6x2 + -6x2 = 25 + -25x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
80 + -44x + 0 = 25 + -25x + 6x2 + -6x2
80 + -44x = 25 + -25x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
80 + -44x = 25 + -25x + 0
80 + -44x = 25 + -25x

Solving
80 + -44x = 25 + -25x

Solving for variable 'x'.

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

Add '25x' to each side of the equation.
80 + -44x + 25x = 25 + -25x + 25x

Combine like terms: -44x + 25x = -19x
80 + -19x = 25 + -25x + 25x

Combine like terms: -25x + 25x = 0
80 + -19x = 25 + 0
80 + -19x = 25

Add '-80' to each side of the equation.
80 + -80 + -19x = 25 + -80

Combine like terms: 80 + -80 = 0
0 + -19x = 25 + -80
-19x = 25 + -80

Combine like terms: 25 + -80 = -55
-19x = -55

Divide each side by '-19'.
x = 2.894736842

Simplifying
x = 2.894736842

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