Solve (x-3)(x-2)+x=x^2-5

$$( x - 3 ) ( x - 2 ) + x = x ^ { 2 } - 5$$

Solve for x

$$x = \frac{11}{4} = 2\frac{3}{4} = 2.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-3 by x-2 and combine like terms.

$$x^{2}-5x+6+x=x^{2}-5$$

Combine -5x and x to get -4x.

$$x^{2}-4x+6=x^{2}-5$$

Subtract x^{2} from both sides.

$$x^{2}-4x+6-x^{2}=-5$$

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

$$-4x+6=-5$$

Subtract 6 from both sides.

$$-4x=-5-6$$

Subtract 6 from -5 to get -11.

$$-4x=-11$$

Divide both sides by -4.

$$x=\frac{-11}{-4}$$

Fraction \frac{-11}{-4} can be simplified to \frac{11}{4} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{11}{4}$$