Solve (x-6)(x+7)=(x+3)(x-11)

$$( x - 6 ) ( x + 7 ) = ( x + 3 ) ( x - 11 )$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-6 by x+7 and combine like terms.

$$x^{2}+x-42=\left(x+3\right)\left(x-11\right)$$

Use the distributive property to multiply x+3 by x-11 and combine like terms.

$$x^{2}+x-42=x^{2}-8x-33$$

Subtract x^{2} from both sides.

$$x^{2}+x-42-x^{2}=-8x-33$$

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

$$x-42=-8x-33$$

Add 8x to both sides.

$$x-42+8x=-33$$

Combine x and 8x to get 9x.

$$9x-42=-33$$

Add 42 to both sides.

$$9x=-33+42$$

Add -33 and 42 to get 9.

$$9x=9$$

Divide both sides by 9.

$$x=\frac{9}{9}$$

Divide 9 by 9 to get 1.

$$x=1$$