Solve 8(3x-2)-4(4x-3)=6(4-x)

$$8 ( 3 x - 2 ) - 4 ( 4 x - 3 ) = 6 ( 4 - x )$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by 3x-2.

$$24x-16-4\left(4x-3\right)=6\left(4-x\right)$$

Use the distributive property to multiply -4 by 4x-3.

$$24x-16-16x+12=6\left(4-x\right)$$

Combine 24x and -16x to get 8x.

$$8x-16+12=6\left(4-x\right)$$

Add -16 and 12 to get -4.

$$8x-4=6\left(4-x\right)$$

Use the distributive property to multiply 6 by 4-x.

$$8x-4=24-6x$$

Add 6x to both sides.

$$8x-4+6x=24$$

Combine 8x and 6x to get 14x.

$$14x-4=24$$

Add 4 to both sides.

$$14x=24+4$$

Add 24 and 4 to get 28.

$$14x=28$$

Divide both sides by 14.

$$x=\frac{28}{14}$$

Divide 28 by 14 to get 2.

$$x=2$$