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

$$x ^ { 2 } - 2 ( x - 1 ) = x ( x - 1 )$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by x-1.

$$x^{2}-2x+2=x\left(x-1\right)$$

Use the distributive property to multiply x by x-1.

$$x^{2}-2x+2=x^{2}-x$$

Subtract x^{2} from both sides.

$$x^{2}-2x+2-x^{2}=-x$$

Combine x^{2} and -x^{2} to get 0.

$$-2x+2=-x$$

Add x to both sides.

$$-2x+2+x=0$$

Combine -2x and x to get -x.

$$-x+2=0$$

Subtract 2 from both sides. Anything subtracted from zero gives its negation.

$$-x=-2$$

Multiply both sides by -1.

$$x=2$$