Solve x(n/3+4)+2

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

Evaluate

$$\frac{x\left(n+12\right)+6}{3}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{3}{3}.

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

Since \frac{n}{3} and \frac{4\times 3}{3} have the same denominator, add them by adding their numerators.

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

Do the multiplications in n+4\times 3.

$$x\times \frac{n+12}{3}+2$$

Express x\times \frac{n+12}{3} as a single fraction.

$$\frac{x\left(n+12\right)}{3}+2$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{3}{3}.

$$\frac{x\left(n+12\right)}{3}+\frac{2\times 3}{3}$$

Since \frac{x\left(n+12\right)}{3} and \frac{2\times 3}{3} have the same denominator, add them by adding their numerators.

$$\frac{x\left(n+12\right)+2\times 3}{3}$$

Do the multiplications in x\left(n+12\right)+2\times 3.

$$\frac{xn+12x+6}{3}$$

Expand

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{3}{3}.

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

Since \frac{n}{3} and \frac{4\times 3}{3} have the same denominator, add them by adding their numerators.

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

Do the multiplications in n+4\times 3.

$$x\times \frac{n+12}{3}+2$$

Express x\times \frac{n+12}{3} as a single fraction.

$$\frac{x\left(n+12\right)}{3}+2$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{3}{3}.

$$\frac{x\left(n+12\right)}{3}+\frac{2\times 3}{3}$$

Since \frac{x\left(n+12\right)}{3} and \frac{2\times 3}{3} have the same denominator, add them by adding their numerators.

$$\frac{x\left(n+12\right)+2\times 3}{3}$$

Do the multiplications in x\left(n+12\right)+2\times 3.

$$\frac{xn+12x+6}{3}$$