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

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

Solve for x

$$x = \frac{11}{5} = 2\frac{1}{5} = 2.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3x-5 by -2x+3 and combine like terms.

$$-6x^{2}+19x-15=\left(-2x+4\right)\left(3x-1\right)$$

Use the distributive property to multiply -2x+4 by 3x-1 and combine like terms.

$$-6x^{2}+19x-15=-6x^{2}+14x-4$$

Add 6x^{2} to both sides.

$$-6x^{2}+19x-15+6x^{2}=14x-4$$

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

$$19x-15=14x-4$$

Subtract 14x from both sides.

$$19x-15-14x=-4$$

Combine 19x and -14x to get 5x.

$$5x-15=-4$$

Add 15 to both sides.

$$5x=-4+15$$

Add -4 and 15 to get 11.

$$5x=11$$

Divide both sides by 5.

$$x=\frac{11}{5}$$