Solve left(3x-5right)left(15-8xright)=left(6x-11right)left(7-4xright)

$$\left( 3x-5 \right) \left( 15-8x \right) = \left( 6x-11 \right) \left( 7-4x \right)$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3x-5 by 15-8x and combine like terms.

$$85x-24x^{2}-75=\left(6x-11\right)\left(7-4x\right)$$

Use the distributive property to multiply 6x-11 by 7-4x and combine like terms.

$$85x-24x^{2}-75=86x-24x^{2}-77$$

Subtract 86x from both sides.

$$85x-24x^{2}-75-86x=-24x^{2}-77$$

Combine 85x and -86x to get -x.

$$-x-24x^{2}-75=-24x^{2}-77$$

Add 24x^{2} to both sides.

$$-x-24x^{2}-75+24x^{2}=-77$$

Combine -24x^{2} and 24x^{2} to get 0.

$$-x-75=-77$$

Add 75 to both sides.

$$-x=-77+75$$

Add -77 and 75 to get -2.

$$-x=-2$$

Multiply both sides by -1.

$$x=2$$