Solve x+3/x+23/x+4x

$$x + \frac { 3 } { x } + 2 \frac { 3 } { x } + 4 x$$

Evaluate

$$5x+\frac{9}{x}$$

Short Solution Steps

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

$$x+\frac{3}{x}+\frac{2\times 3}{x}+4x$$

Combine x and 4x to get 5x.

$$5x+\frac{3}{x}+\frac{2\times 3}{x}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 5x times \frac{x}{x}.

$$\frac{5xx}{x}+\frac{3}{x}+\frac{2\times 3}{x}$$

Since \frac{5xx}{x} and \frac{3}{x} have the same denominator, add them by adding their numerators.

$$\frac{5xx+3}{x}+\frac{2\times 3}{x}$$

Do the multiplications in 5xx+3.

$$\frac{5x^{2}+3}{x}+\frac{2\times 3}{x}$$

Since \frac{5x^{2}+3}{x} and \frac{2\times 3}{x} have the same denominator, add them by adding their numerators.

$$\frac{5x^{2}+3+2\times 3}{x}$$

Do the multiplications in 5x^{2}+3+2\times 3.

$$\frac{5x^{2}+3+6}{x}$$

Combine like terms in 5x^{2}+3+6.

$$\frac{5x^{2}+9}{x}$$

Factor

$$\frac{5x^{2}+9}{x}$$