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

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

Solve for D

$$D=32-2x$$

Solution Steps

Use the distributive property to multiply -4 by 2x-8.

$$D=6x-8x+32$$

Combine 6x and -8x to get -2x.

$$D=-2x+32$$

Solve for x

$$x=-\frac{D}{2}+16$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by 2x-8.

$$D=6x-8x+32$$

Combine 6x and -8x to get -2x.

$$D=-2x+32$$

Swap sides so that all variable terms are on the left hand side.

$$-2x+32=D$$

Subtract 32 from both sides.

$$-2x=D-32$$

Divide both sides by -2.

$$\frac{-2x}{-2}=\frac{D-32}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$x=\frac{D-32}{-2}$$

Divide D-32 by -2.

$$x=-\frac{D}{2}+16$$