Solve left(x-7right)left(x+3right)=xleft(x+2right)+5

$$\left( x-7 \right) \left( x+3 \right) = x \left( x+2 \right) +5$$

Solve for x

$$x = -\frac{13}{3} = -4\frac{1}{3} \approx -4.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-7 by x+3 and combine like terms.

$$x^{2}-4x-21=x\left(x+2\right)+5$$

Use the distributive property to multiply x by x+2.

$$x^{2}-4x-21=x^{2}+2x+5$$

Subtract x^{2} from both sides.

$$x^{2}-4x-21-x^{2}=2x+5$$

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

$$-4x-21=2x+5$$

Subtract 2x from both sides.

$$-4x-21-2x=5$$

Combine -4x and -2x to get -6x.

$$-6x-21=5$$

Add 21 to both sides.

$$-6x=5+21$$

Add 5 and 21 to get 26.

$$-6x=26$$

Divide both sides by -6.

$$x=\frac{26}{-6}$$

Reduce the fraction \frac{26}{-6} to lowest terms by extracting and canceling out 2.

$$x=-\frac{13}{3}$$