Solve 0.12left(x+0)+.12(x+1right)+.12(x+2)+.12(x+3)

$$0.12 \left( x+0)+.12(x+1 \right) +.12(x+2)+.12(x+3)$$

Evaluate

$$\frac{12x+18}{25}$$

Solution Steps

Anything plus zero gives itself.

$$0.12x+0.12\left(x+1\right)+0.12\left(x+2\right)+0.12\left(x+3\right)$$

Use the distributive property to multiply 0.12 by x+1.

$$0.12x+0.12x+0.12+0.12\left(x+2\right)+0.12\left(x+3\right)$$

Combine 0.12x and 0.12x to get 0.24x.

$$0.24x+0.12+0.12\left(x+2\right)+0.12\left(x+3\right)$$

Use the distributive property to multiply 0.12 by x+2.

$$0.24x+0.12+0.12x+0.24+0.12\left(x+3\right)$$

Combine 0.24x and 0.12x to get 0.36x.

$$0.36x+0.12+0.24+0.12\left(x+3\right)$$

Add 0.12 and 0.24 to get 0.36.

$$0.36x+0.36+0.12\left(x+3\right)$$

Use the distributive property to multiply 0.12 by x+3.

$$0.36x+0.36+0.12x+0.36$$

Combine 0.36x and 0.12x to get 0.48x.

$$0.48x+0.36+0.36$$

Add 0.36 and 0.36 to get 0.72.

$$0.48x+0.72$$

Expand

$$\frac{12x+18}{25}$$

Solution Steps

Anything plus zero gives itself.

$$0.12x+0.12\left(x+1\right)+0.12\left(x+2\right)+0.12\left(x+3\right)$$

Use the distributive property to multiply 0.12 by x+1.

$$0.12x+0.12x+0.12+0.12\left(x+2\right)+0.12\left(x+3\right)$$

Combine 0.12x and 0.12x to get 0.24x.

$$0.24x+0.12+0.12\left(x+2\right)+0.12\left(x+3\right)$$

Use the distributive property to multiply 0.12 by x+2.

$$0.24x+0.12+0.12x+0.24+0.12\left(x+3\right)$$

Combine 0.24x and 0.12x to get 0.36x.

$$0.36x+0.12+0.24+0.12\left(x+3\right)$$

Add 0.12 and 0.24 to get 0.36.

$$0.36x+0.36+0.12\left(x+3\right)$$

Use the distributive property to multiply 0.12 by x+3.

$$0.36x+0.36+0.12x+0.36$$

Combine 0.36x and 0.12x to get 0.48x.

$$0.48x+0.36+0.36$$

Add 0.36 and 0.36 to get 0.72.

$$0.48x+0.72$$