x(x-1)=x^2-2(x-2)

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Solution for x(x-1)=x^2-2(x-2) equation: 


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

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

Reorder the terms:
-1x + x2 = x2 + -2(-2 + x)
-1x + x2 = x2 + (-2 * -2 + x * -2)
-1x + x2 = x2 + (4 + -2x)

Reorder the terms:
-1x + x2 = 4 + -2x + x2

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

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

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

Solving
-1x = 4 + -2x

Solving for variable 'x'.

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

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

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

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

Divide each side by '1'.
x = 4

Simplifying
x = 4

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