(x-10)(x+12)=(x-6)x

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Solution for (x-10)(x+12)=(x-6)x equation:


Simplifying
(x + -10)(x + 12) = (x + -6) * x

Reorder the terms:
(-10 + x)(x + 12) = (x + -6) * x

Reorder the terms:
(-10 + x)(12 + x) = (x + -6) * x

Multiply (-10 + x) * (12 + x)
(-10(12 + x) + x(12 + x)) = (x + -6) * x
((12 * -10 + x * -10) + x(12 + x)) = (x + -6) * x
((-120 + -10x) + x(12 + x)) = (x + -6) * x
(-120 + -10x + (12 * x + x * x)) = (x + -6) * x
(-120 + -10x + (12x + x2)) = (x + -6) * x

Combine like terms: -10x + 12x = 2x
(-120 + 2x + x2) = (x + -6) * x

Reorder the terms:
-120 + 2x + x2 = (-6 + x) * x

Reorder the terms for easier multiplication:
-120 + 2x + x2 = x(-6 + x)
-120 + 2x + x2 = (-6 * x + x * x)
-120 + 2x + x2 = (-6x + x2)

Add '-1x2' to each side of the equation.
-120 + 2x + x2 + -1x2 = -6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-120 + 2x + 0 = -6x + x2 + -1x2
-120 + 2x = -6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-120 + 2x = -6x + 0
-120 + 2x = -6x

Solving
-120 + 2x = -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-120 + 2x + 6x = -6x + 6x

Combine like terms: 2x + 6x = 8x
-120 + 8x = -6x + 6x

Combine like terms: -6x + 6x = 0
-120 + 8x = 0

Add '120' to each side of the equation.
-120 + 120 + 8x = 0 + 120

Combine like terms: -120 + 120 = 0
0 + 8x = 0 + 120
8x = 0 + 120

Combine like terms: 0 + 120 = 120
8x = 120

Divide each side by '8'.
x = 15

Simplifying
x = 15

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