(x-8)(x+18)=(x-12)(x-12)

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Solution for (x-8)(x+18)=(x-12)(x-12) equation: 


Simplifying
(x + -8)(x + 18) = (x + -12)(x + -12)

Reorder the terms:
(-8 + x)(x + 18) = (x + -12)(x + -12)

Reorder the terms:
(-8 + x)(18 + x) = (x + -12)(x + -12)

Multiply (-8 + x) * (18 + x)
(-8(18 + x) + x(18 + x)) = (x + -12)(x + -12)
((18 * -8 + x * -8) + x(18 + x)) = (x + -12)(x + -12)
((-144 + -8x) + x(18 + x)) = (x + -12)(x + -12)
(-144 + -8x + (18 * x + x * x)) = (x + -12)(x + -12)
(-144 + -8x + (18x + x2)) = (x + -12)(x + -12)

Combine like terms: -8x + 18x = 10x
(-144 + 10x + x2) = (x + -12)(x + -12)

Reorder the terms:
-144 + 10x + x2 = (-12 + x)(x + -12)

Reorder the terms:
-144 + 10x + x2 = (-12 + x)(-12 + x)

Multiply (-12 + x) * (-12 + x)
-144 + 10x + x2 = (-12(-12 + x) + x(-12 + x))
-144 + 10x + x2 = ((-12 * -12 + x * -12) + x(-12 + x))
-144 + 10x + x2 = ((144 + -12x) + x(-12 + x))
-144 + 10x + x2 = (144 + -12x + (-12 * x + x * x))
-144 + 10x + x2 = (144 + -12x + (-12x + x2))

Combine like terms: -12x + -12x = -24x
-144 + 10x + x2 = (144 + -24x + x2)

Add '-1x2' to each side of the equation.
-144 + 10x + x2 + -1x2 = 144 + -24x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-144 + 10x + 0 = 144 + -24x + x2 + -1x2
-144 + 10x = 144 + -24x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-144 + 10x = 144 + -24x + 0
-144 + 10x = 144 + -24x

Solving
-144 + 10x = 144 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
-144 + 10x + 24x = 144 + -24x + 24x

Combine like terms: 10x + 24x = 34x
-144 + 34x = 144 + -24x + 24x

Combine like terms: -24x + 24x = 0
-144 + 34x = 144 + 0
-144 + 34x = 144

Add '144' to each side of the equation.
-144 + 144 + 34x = 144 + 144

Combine like terms: -144 + 144 = 0
0 + 34x = 144 + 144
34x = 144 + 144

Combine like terms: 144 + 144 = 288
34x = 288

Divide each side by '34'.
x = 8.470588235

Simplifying
x = 8.470588235

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