Solve 2/5(15x-10)+4(2x+9)

$$\frac { 2 } { 5 } ( 15 x - 10 ) + 4 ( 2 x + 9 )$$

Evaluate

$$14x+32$$

Solution Steps

Use the distributive property to multiply \frac{2}{5} by 15x-10.

$$\frac{2}{5}\times 15x+\frac{2}{5}\left(-10\right)+4\left(2x+9\right)$$

Express \frac{2}{5}\times 15 as a single fraction.

$$\frac{2\times 15}{5}x+\frac{2}{5}\left(-10\right)+4\left(2x+9\right)$$

Multiply 2 and 15 to get 30.

$$\frac{30}{5}x+\frac{2}{5}\left(-10\right)+4\left(2x+9\right)$$

Divide 30 by 5 to get 6.

$$6x+\frac{2}{5}\left(-10\right)+4\left(2x+9\right)$$

Express \frac{2}{5}\left(-10\right) as a single fraction.

$$6x+\frac{2\left(-10\right)}{5}+4\left(2x+9\right)$$

Multiply 2 and -10 to get -20.

$$6x+\frac{-20}{5}+4\left(2x+9\right)$$

Divide -20 by 5 to get -4.

$$6x-4+4\left(2x+9\right)$$

Use the distributive property to multiply 4 by 2x+9.

$$6x-4+8x+36$$

Combine 6x and 8x to get 14x.

$$14x-4+36$$

Add -4 and 36 to get 32.

$$14x+32$$

Expand

$$14x+32$$

Solution Steps

Use the distributive property to multiply \frac{2}{5} by 15x-10.

$$\frac{2}{5}\times 15x+\frac{2}{5}\left(-10\right)+4\left(2x+9\right)$$

Express \frac{2}{5}\times 15 as a single fraction.

$$\frac{2\times 15}{5}x+\frac{2}{5}\left(-10\right)+4\left(2x+9\right)$$

Multiply 2 and 15 to get 30.

$$\frac{30}{5}x+\frac{2}{5}\left(-10\right)+4\left(2x+9\right)$$

Divide 30 by 5 to get 6.

$$6x+\frac{2}{5}\left(-10\right)+4\left(2x+9\right)$$

Express \frac{2}{5}\left(-10\right) as a single fraction.

$$6x+\frac{2\left(-10\right)}{5}+4\left(2x+9\right)$$

Multiply 2 and -10 to get -20.

$$6x+\frac{-20}{5}+4\left(2x+9\right)$$

Divide -20 by 5 to get -4.

$$6x-4+4\left(2x+9\right)$$

Use the distributive property to multiply 4 by 2x+9.

$$6x-4+8x+36$$

Combine 6x and 8x to get 14x.

$$14x-4+36$$

Add -4 and 36 to get 32.

$$14x+32$$