Solve x^2-x-2=x^2+2x-3

$$x ^ { 2 } - x - 2 = x ^ { 2 } + 2 x - 3$$

Solve for x

$$x=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

Subtract x^{2} from both sides.

$$x^{2}-x-2-x^{2}=2x-3$$

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

$$-x-2=2x-3$$

Subtract 2x from both sides.

$$-x-2-2x=-3$$

Combine -x and -2x to get -3x.

$$-3x-2=-3$$

Add 2 to both sides.

$$-3x=-3+2$$

Add -3 and 2 to get -1.

$$-3x=-1$$

Divide both sides by -3.

$$x=\frac{-1}{-3}$$

Fraction \frac{-1}{-3} can be simplified to \frac{1}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{3}$$