Solve (x+7)(x+9)=(x-8)(x-1)

$$( x + 7 ) ( x + 9 ) = ( x - 8 ) ( x - 1 )$$

Solve for x

$$x = -\frac{11}{5} = -2\frac{1}{5} = -2.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+7 by x+9 and combine like terms.

$$x^{2}+16x+63=\left(x-8\right)\left(x-1\right)$$

Use the distributive property to multiply x-8 by x-1 and combine like terms.

$$x^{2}+16x+63=x^{2}-9x+8$$

Subtract x^{2} from both sides.

$$x^{2}+16x+63-x^{2}=-9x+8$$

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

$$16x+63=-9x+8$$

Add 9x to both sides.

$$16x+63+9x=8$$

Combine 16x and 9x to get 25x.

$$25x+63=8$$

Subtract 63 from both sides.

$$25x=8-63$$

Subtract 63 from 8 to get -55.

$$25x=-55$$

Divide both sides by 25.

$$x=\frac{-55}{25}$$

Reduce the fraction \frac{-55}{25} to lowest terms by extracting and canceling out 5.

$$x=-\frac{11}{5}$$