Solve 3/4*2(x+6)-3

$$\frac { 3 } { 4 } \times 2 ( x + 6 ) - 3$$

Evaluate

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

Solution Steps

Express \frac{3}{4}\times 2 as a single fraction.

$$\frac{3\times 2}{4}\left(x+6\right)-3$$

Multiply 3 and 2 to get 6.

$$\frac{6}{4}\left(x+6\right)-3$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}\left(x+6\right)-3$$

Use the distributive property to multiply \frac{3}{2} by x+6.

$$\frac{3}{2}x+\frac{3}{2}\times 6-3$$

Express \frac{3}{2}\times 6 as a single fraction.

$$\frac{3}{2}x+\frac{3\times 6}{2}-3$$

Multiply 3 and 6 to get 18.

$$\frac{3}{2}x+\frac{18}{2}-3$$

Divide 18 by 2 to get 9.

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

Subtract 3 from 9 to get 6.

$$\frac{3}{2}x+6$$

Expand

$$\frac{3x}{2}+6$$

Solution Steps

Express \frac{3}{4}\times 2 as a single fraction.

$$\frac{3\times 2}{4}\left(x+6\right)-3$$

Multiply 3 and 2 to get 6.

$$\frac{6}{4}\left(x+6\right)-3$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}\left(x+6\right)-3$$

Use the distributive property to multiply \frac{3}{2} by x+6.

$$\frac{3}{2}x+\frac{3}{2}\times 6-3$$

Express \frac{3}{2}\times 6 as a single fraction.

$$\frac{3}{2}x+\frac{3\times 6}{2}-3$$

Multiply 3 and 6 to get 18.

$$\frac{3}{2}x+\frac{18}{2}-3$$

Divide 18 by 2 to get 9.

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

Subtract 3 from 9 to get 6.

$$\frac{3}{2}x+6$$