x(x-2)-2x(x-3)=12-x^2

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Solution for x(x-2)-2x(x-3)=12-x^2 equation: 


Simplifying
x(x + -2) + -2x(x + -3) = 12 + -1x2

Reorder the terms:
x(-2 + x) + -2x(x + -3) = 12 + -1x2
(-2 * x + x * x) + -2x(x + -3) = 12 + -1x2
(-2x + x2) + -2x(x + -3) = 12 + -1x2

Reorder the terms:
-2x + x2 + -2x(-3 + x) = 12 + -1x2
-2x + x2 + (-3 * -2x + x * -2x) = 12 + -1x2
-2x + x2 + (6x + -2x2) = 12 + -1x2

Reorder the terms:
-2x + 6x + x2 + -2x2 = 12 + -1x2

Combine like terms: -2x + 6x = 4x
4x + x2 + -2x2 = 12 + -1x2

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

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

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

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

Solving
4x = 12

Solving for variable 'x'.

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

Divide each side by '4'.
x = 3

Simplifying
x = 3

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