Solve 2*((1/4x+12/x)+x)

$$2 \times (( \frac{ 1 }{ 4 } x+ \frac{ 12 }{ x } )+x)$$

Evaluate

$$\frac{5x}{2}+\frac{24}{x}$$

Solution Steps

Combine \frac{1}{4}x and x to get \frac{5}{4}x.

$$2\left(\frac{5}{4}x+\frac{12}{x}\right)$$

Use the distributive property to multiply 2 by \frac{5}{4}x+\frac{12}{x}.

$$2\times \frac{5}{4}x+2\times \frac{12}{x}$$

Express 2\times \frac{5}{4} as a single fraction.

$$\frac{2\times 5}{4}x+2\times \frac{12}{x}$$

Multiply 2 and 5 to get 10.

$$\frac{10}{4}x+2\times \frac{12}{x}$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$\frac{5}{2}x+2\times \frac{12}{x}$$

Express 2\times \frac{12}{x} as a single fraction.

$$\frac{5}{2}x+\frac{2\times 12}{x}$$

Multiply 2 and 12 to get 24.

$$\frac{5}{2}x+\frac{24}{x}$$

Expand

$$\frac{5x}{2}+\frac{24}{x}$$

Solution Steps

Combine \frac{1}{4}x and x to get \frac{5}{4}x.

$$2\left(\frac{5}{4}x+\frac{12}{x}\right)$$

Use the distributive property to multiply 2 by \frac{5}{4}x+\frac{12}{x}.

$$2\times \frac{5}{4}x+2\times \frac{12}{x}$$

Express 2\times \frac{5}{4} as a single fraction.

$$\frac{2\times 5}{4}x+2\times \frac{12}{x}$$

Multiply 2 and 5 to get 10.

$$\frac{10}{4}x+2\times \frac{12}{x}$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$\frac{5}{2}x+2\times \frac{12}{x}$$

Express 2\times \frac{12}{x} as a single fraction.

$$\frac{5}{2}x+\frac{2\times 12}{x}$$

Multiply 2 and 12 to get 24.

$$\frac{5}{2}x+\frac{24}{x}$$