Solve 4/5[2(11x+7)-4+23x]

$$\frac { 4 } { 5 } [ 2 ( 11 x + 7 ) - 4 + 23 x ]$$

Evaluate

$$36x+8$$

Solution Steps

Use the distributive property to multiply 2 by 11x+7.

$$\frac{4}{5}\left(22x+14-4+23x\right)$$

Subtract 4 from 14 to get 10.

$$\frac{4}{5}\left(22x+10+23x\right)$$

Combine 22x and 23x to get 45x.

$$\frac{4}{5}\left(45x+10\right)$$

Use the distributive property to multiply \frac{4}{5} by 45x+10.

$$\frac{4}{5}\times 45x+\frac{4}{5}\times 10$$

Express \frac{4}{5}\times 45 as a single fraction.

$$\frac{4\times 45}{5}x+\frac{4}{5}\times 10$$

Multiply 4 and 45 to get 180.

$$\frac{180}{5}x+\frac{4}{5}\times 10$$

Divide 180 by 5 to get 36.

$$36x+\frac{4}{5}\times 10$$

Express \frac{4}{5}\times 10 as a single fraction.

$$36x+\frac{4\times 10}{5}$$

Multiply 4 and 10 to get 40.

$$36x+\frac{40}{5}$$

Divide 40 by 5 to get 8.

$$36x+8$$

Expand

$$36x+8$$

Solution Steps

Use the distributive property to multiply 2 by 11x+7.

$$\frac{4}{5}\left(22x+14-4+23x\right)$$

Subtract 4 from 14 to get 10.

$$\frac{4}{5}\left(22x+10+23x\right)$$

Combine 22x and 23x to get 45x.

$$\frac{4}{5}\left(45x+10\right)$$

Use the distributive property to multiply \frac{4}{5} by 45x+10.

$$\frac{4}{5}\times 45x+\frac{4}{5}\times 10$$

Express \frac{4}{5}\times 45 as a single fraction.

$$\frac{4\times 45}{5}x+\frac{4}{5}\times 10$$

Multiply 4 and 45 to get 180.

$$\frac{180}{5}x+\frac{4}{5}\times 10$$

Divide 180 by 5 to get 36.

$$36x+\frac{4}{5}\times 10$$

Express \frac{4}{5}\times 10 as a single fraction.

$$36x+\frac{4\times 10}{5}$$

Multiply 4 and 10 to get 40.

$$36x+\frac{40}{5}$$

Divide 40 by 5 to get 8.

$$36x+8$$