(x-12)(x-8)=(x-2)(x-15)

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Solution for (x-12)(x-8)=(x-2)(x-15) equation: 


Simplifying
(x + -12)(x + -8) = (x + -2)(x + -15)

Reorder the terms:
(-12 + x)(x + -8) = (x + -2)(x + -15)

Reorder the terms:
(-12 + x)(-8 + x) = (x + -2)(x + -15)

Multiply (-12 + x) * (-8 + x)
(-12(-8 + x) + x(-8 + x)) = (x + -2)(x + -15)
((-8 * -12 + x * -12) + x(-8 + x)) = (x + -2)(x + -15)
((96 + -12x) + x(-8 + x)) = (x + -2)(x + -15)
(96 + -12x + (-8 * x + x * x)) = (x + -2)(x + -15)
(96 + -12x + (-8x + x2)) = (x + -2)(x + -15)

Combine like terms: -12x + -8x = -20x
(96 + -20x + x2) = (x + -2)(x + -15)

Reorder the terms:
96 + -20x + x2 = (-2 + x)(x + -15)

Reorder the terms:
96 + -20x + x2 = (-2 + x)(-15 + x)

Multiply (-2 + x) * (-15 + x)
96 + -20x + x2 = (-2(-15 + x) + x(-15 + x))
96 + -20x + x2 = ((-15 * -2 + x * -2) + x(-15 + x))
96 + -20x + x2 = ((30 + -2x) + x(-15 + x))
96 + -20x + x2 = (30 + -2x + (-15 * x + x * x))
96 + -20x + x2 = (30 + -2x + (-15x + x2))

Combine like terms: -2x + -15x = -17x
96 + -20x + x2 = (30 + -17x + x2)

Add '-1x2' to each side of the equation.
96 + -20x + x2 + -1x2 = 30 + -17x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
96 + -20x + 0 = 30 + -17x + x2 + -1x2
96 + -20x = 30 + -17x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
96 + -20x = 30 + -17x + 0
96 + -20x = 30 + -17x

Solving
96 + -20x = 30 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
96 + -20x + 17x = 30 + -17x + 17x

Combine like terms: -20x + 17x = -3x
96 + -3x = 30 + -17x + 17x

Combine like terms: -17x + 17x = 0
96 + -3x = 30 + 0
96 + -3x = 30

Add '-96' to each side of the equation.
96 + -96 + -3x = 30 + -96

Combine like terms: 96 + -96 = 0
0 + -3x = 30 + -96
-3x = 30 + -96

Combine like terms: 30 + -96 = -66
-3x = -66

Divide each side by '-3'.
x = 22

Simplifying
x = 22

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