Solve (3x-1)(x+2)=(x+3)(3x-2)

$$( 3 x - 1 ) ( x + 2 ) = ( x + 3 ) ( 3 x - 2 )$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$3x^{2}+5x-2=\left(x+3\right)\left(3x-2\right)$$

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

$$3x^{2}+5x-2=3x^{2}+7x-6$$

Subtract 3x^{2} from both sides.

$$3x^{2}+5x-2-3x^{2}=7x-6$$

Combine 3x^{2} and -3x^{2} to get 0.

$$5x-2=7x-6$$

Subtract 7x from both sides.

$$5x-2-7x=-6$$

Combine 5x and -7x to get -2x.

$$-2x-2=-6$$

Add 2 to both sides.

$$-2x=-6+2$$

Add -6 and 2 to get -4.

$$-2x=-4$$

Divide both sides by -2.

$$x=\frac{-4}{-2}$$

Divide -4 by -2 to get 2.

$$x=2$$