x(x-2)=x(x+4)-12

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Solution for x(x-2)=x(x+4)-12 equation:


Simplifying
x(x + -2) = x(x + 4) + -12

Reorder the terms:
x(-2 + x) = x(x + 4) + -12
(-2 * x + x * x) = x(x + 4) + -12
(-2x + x2) = x(x + 4) + -12

Reorder the terms:
-2x + x2 = x(4 + x) + -12
-2x + x2 = (4 * x + x * x) + -12
-2x + x2 = (4x + x2) + -12

Reorder the terms:
-2x + x2 = -12 + 4x + x2

Add '-1x2' to each side of the equation.
-2x + x2 + -1x2 = -12 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2x + 0 = -12 + 4x + x2 + -1x2
-2x = -12 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2x = -12 + 4x + 0
-2x = -12 + 4x

Solving
-2x = -12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-2x + -4x = -12 + 4x + -4x

Combine like terms: -2x + -4x = -6x
-6x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6x = -12 + 0
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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