Solve 1/2(8x+4)+1/3(3x-9)

$$\frac { 1 } { 2 } ( 8 x + 4 ) + \frac { 1 } { 3 } ( 3 x - 9 )$$

Evaluate

$$5x-1$$

Solution Steps

Use the distributive property to multiply \frac{1}{2} by 8x+4.

$$\frac{1}{2}\times 8x+\frac{1}{2}\times 4+\frac{1}{3}\left(3x-9\right)$$

Multiply \frac{1}{2} and 8 to get \frac{8}{2}.

$$\frac{8}{2}x+\frac{1}{2}\times 4+\frac{1}{3}\left(3x-9\right)$$

Divide 8 by 2 to get 4.

$$4x+\frac{1}{2}\times 4+\frac{1}{3}\left(3x-9\right)$$

Multiply \frac{1}{2} and 4 to get \frac{4}{2}.

$$4x+\frac{4}{2}+\frac{1}{3}\left(3x-9\right)$$

Divide 4 by 2 to get 2.

$$4x+2+\frac{1}{3}\left(3x-9\right)$$

Use the distributive property to multiply \frac{1}{3} by 3x-9.

$$4x+2+\frac{1}{3}\times 3x+\frac{1}{3}\left(-9\right)$$

Cancel out 3 and 3.

$$4x+2+x+\frac{1}{3}\left(-9\right)$$

Multiply \frac{1}{3} and -9 to get \frac{-9}{3}.

$$4x+2+x+\frac{-9}{3}$$

Divide -9 by 3 to get -3.

$$4x+2+x-3$$

Combine 4x and x to get 5x.

$$5x+2-3$$

Subtract 3 from 2 to get -1.

$$5x-1$$

Expand

$$5x-1$$

Solution Steps

Use the distributive property to multiply \frac{1}{2} by 8x+4.

$$\frac{1}{2}\times 8x+\frac{1}{2}\times 4+\frac{1}{3}\left(3x-9\right)$$

Multiply \frac{1}{2} and 8 to get \frac{8}{2}.

$$\frac{8}{2}x+\frac{1}{2}\times 4+\frac{1}{3}\left(3x-9\right)$$

Divide 8 by 2 to get 4.

$$4x+\frac{1}{2}\times 4+\frac{1}{3}\left(3x-9\right)$$

Multiply \frac{1}{2} and 4 to get \frac{4}{2}.

$$4x+\frac{4}{2}+\frac{1}{3}\left(3x-9\right)$$

Divide 4 by 2 to get 2.

$$4x+2+\frac{1}{3}\left(3x-9\right)$$

Use the distributive property to multiply \frac{1}{3} by 3x-9.

$$4x+2+\frac{1}{3}\times 3x+\frac{1}{3}\left(-9\right)$$

Cancel out 3 and 3.

$$4x+2+x+\frac{1}{3}\left(-9\right)$$

Multiply \frac{1}{3} and -9 to get \frac{-9}{3}.

$$4x+2+x+\frac{-9}{3}$$

Divide -9 by 3 to get -3.

$$4x+2+x-3$$

Combine 4x and x to get 5x.

$$5x+2-3$$

Subtract 3 from 2 to get -1.

$$5x-1$$