Solve 4(6/x+2)+2

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

Evaluate

$$\frac{2\left(x+14\right)}{x+2}$$

Short Solution Steps

Express 4\times \frac{6}{x+2} as a single fraction.

$$\frac{4\times 6}{x+2}+2$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{x+2}{x+2}.

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

Since \frac{4\times 6}{x+2} and \frac{2\left(x+2\right)}{x+2} have the same denominator, add them by adding their numerators.

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

Do the multiplications in 4\times 6+2\left(x+2\right).

$$\frac{24+2x+4}{x+2}$$

Combine like terms in 24+2x+4.

$$\frac{28+2x}{x+2}$$

Factor

$$\frac{2\left(x+14\right)}{x+2}$$