Solve (3x-1)(2x+7)-(x+1)(6x-5)=16

$$( 3 x - 1 ) ( 2 x + 7 ) - ( x + 1 ) ( 6 x - 5 ) = 16$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3x-1 by 2x+7 and combine like terms.

$$6x^{2}+19x-7-\left(x+1\right)\left(6x-5\right)=16$$

Use the distributive property to multiply x+1 by 6x-5 and combine like terms.

$$6x^{2}+19x-7-\left(6x^{2}+x-5\right)=16$$

To find the opposite of 6x^{2}+x-5, find the opposite of each term.

$$6x^{2}+19x-7-6x^{2}-x+5=16$$

Combine 6x^{2} and -6x^{2} to get 0.

$$19x-7-x+5=16$$

Combine 19x and -x to get 18x.

$$18x-7+5=16$$

Add -7 and 5 to get -2.

$$18x-2=16$$

Add 2 to both sides.

$$18x=16+2$$

Add 16 and 2 to get 18.

$$18x=18$$

Divide both sides by 18.

$$x=\frac{18}{18}$$

Divide 18 by 18 to get 1.

$$x=1$$