Solve (3x-2)(4x+3)=(2x+1)(6x-5)+1

$$( 3 x - 2 ) ( 4 x + 3 ) = ( 2 x + 1 ) ( 6 x - 5 ) + 1$$

Solve for x

$$x=\frac{2}{5}=0.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3x-2 by 4x+3 and combine like terms.

$$12x^{2}+x-6=\left(2x+1\right)\left(6x-5\right)+1$$

Use the distributive property to multiply 2x+1 by 6x-5 and combine like terms.

$$12x^{2}+x-6=12x^{2}-4x-5+1$$

Add -5 and 1 to get -4.

$$12x^{2}+x-6=12x^{2}-4x-4$$

Subtract 12x^{2} from both sides.

$$12x^{2}+x-6-12x^{2}=-4x-4$$

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

$$x-6=-4x-4$$

Add 4x to both sides.

$$x-6+4x=-4$$

Combine x and 4x to get 5x.

$$5x-6=-4$$

Add 6 to both sides.

$$5x=-4+6$$

Add -4 and 6 to get 2.

$$5x=2$$

Divide both sides by 5.

$$x=\frac{2}{5}$$