Solve (3x-7)(4x+5)-(6x-3)(2x+8)=0

$$( 3 x - 7 ) ( 4 x + 5 ) - ( 6 x - 3 ) ( 2 x + 8 ) = 0$$

Solve for x

$$x=-\frac{1}{5}=-0.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3x-7 by 4x+5 and combine like terms.

$$12x^{2}-13x-35-\left(6x-3\right)\left(2x+8\right)=0$$

Use the distributive property to multiply 6x-3 by 2x+8 and combine like terms.

$$12x^{2}-13x-35-\left(12x^{2}+42x-24\right)=0$$

To find the opposite of 12x^{2}+42x-24, find the opposite of each term.

$$12x^{2}-13x-35-12x^{2}-42x+24=0$$

Combine 12x^{2} and -12x^{2} to get 0.

$$-13x-35-42x+24=0$$

Combine -13x and -42x to get -55x.

$$-55x-35+24=0$$

Add -35 and 24 to get -11.

$$-55x-11=0$$

Add 11 to both sides. Anything plus zero gives itself.

$$-55x=11$$

Divide both sides by -55.

$$x=\frac{11}{-55}$$

Reduce the fraction \frac{11}{-55} to lowest terms by extracting and canceling out 11.

$$x=-\frac{1}{5}$$