Solve W=0.8[100x+80(100-x)]

$$W = 0.8 [ 100 x + 80 ( 100 - x ) ]$$

Solve for W (complex solution)

$$W=16\left(x+400\right)$$

Solution Steps

Use the distributive property to multiply 80 by 100-x.

$$W=0.8\left(100x+8000-80x\right)$$

Combine 100x and -80x to get 20x.

$$W=0.8\left(20x+8000\right)$$

Use the distributive property to multiply 0.8 by 20x+8000.

$$W=16x+6400$$

Solve for W

$$W=16x+6400$$

Solution Steps

Use the distributive property to multiply 80 by 100-x.

$$W=0.8\left(100x+8000-80x\right)$$

Combine 100x and -80x to get 20x.

$$W=0.8\left(20x+8000\right)$$

Use the distributive property to multiply 0.8 by 20x+8000.

$$W=16x+6400$$

Solve for x

$$x=\frac{W-6400}{16}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 80 by 100-x.

$$W=0.8\left(100x+8000-80x\right)$$

Combine 100x and -80x to get 20x.

$$W=0.8\left(20x+8000\right)$$

Use the distributive property to multiply 0.8 by 20x+8000.

$$W=16x+6400$$

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

$$16x+6400=W$$

Subtract 6400 from both sides.

$$16x=W-6400$$

Divide both sides by 16.

$$\frac{16x}{16}=\frac{W-6400}{16}$$

Dividing by 16 undoes the multiplication by 16.

$$x=\frac{W-6400}{16}$$

Divide W-6400 by 16.

$$x=\frac{W}{16}-400$$