Solve 5/8(7x+4)+2

$$\frac { 5 } { 8 } ( 7 x + 4 ) + 2$$

Evaluate

$$\frac{35x}{8}+\frac{9}{2}$$

Solution Steps

Use the distributive property to multiply \frac{5}{8} by 7x+4.

$$\frac{5}{8}\times 7x+\frac{5}{8}\times 4+2$$

Express \frac{5}{8}\times 7 as a single fraction.

$$\frac{5\times 7}{8}x+\frac{5}{8}\times 4+2$$

Multiply 5 and 7 to get 35.

$$\frac{35}{8}x+\frac{5}{8}\times 4+2$$

Express \frac{5}{8}\times 4 as a single fraction.

$$\frac{35}{8}x+\frac{5\times 4}{8}+2$$

Multiply 5 and 4 to get 20.

$$\frac{35}{8}x+\frac{20}{8}+2$$

Reduce the fraction \frac{20}{8} to lowest terms by extracting and canceling out 4.

$$\frac{35}{8}x+\frac{5}{2}+2$$

Convert 2 to fraction \frac{4}{2}.

$$\frac{35}{8}x+\frac{5}{2}+\frac{4}{2}$$

Since \frac{5}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

$$\frac{35}{8}x+\frac{5+4}{2}$$

Add 5 and 4 to get 9.

$$\frac{35}{8}x+\frac{9}{2}$$

Expand

$$\frac{35x}{8}+\frac{9}{2}$$

Solution Steps

Use the distributive property to multiply \frac{5}{8} by 7x+4.

$$\frac{5}{8}\times 7x+\frac{5}{8}\times 4+2$$

Express \frac{5}{8}\times 7 as a single fraction.

$$\frac{5\times 7}{8}x+\frac{5}{8}\times 4+2$$

Multiply 5 and 7 to get 35.

$$\frac{35}{8}x+\frac{5}{8}\times 4+2$$

Express \frac{5}{8}\times 4 as a single fraction.

$$\frac{35}{8}x+\frac{5\times 4}{8}+2$$

Multiply 5 and 4 to get 20.

$$\frac{35}{8}x+\frac{20}{8}+2$$

Reduce the fraction \frac{20}{8} to lowest terms by extracting and canceling out 4.

$$\frac{35}{8}x+\frac{5}{2}+2$$

Convert 2 to fraction \frac{4}{2}.

$$\frac{35}{8}x+\frac{5}{2}+\frac{4}{2}$$

Since \frac{5}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

$$\frac{35}{8}x+\frac{5+4}{2}$$

Add 5 and 4 to get 9.

$$\frac{35}{8}x+\frac{9}{2}$$