Simplify x/2+2x

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

To write $2 x$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Simplify terms.

Combine $2 x$ and $\frac{2}{2}$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Factor $x$ out of $x + 2 x \cdot 2$ .

Raise $x$ to the power of $1$ .

$\frac{x^{1} + 2 x \cdot 2}{2}$

Factor $x$ out of $x^{1}$ .

$\frac{x \cdot 1 + 2 x \cdot 2}{2}$

Factor $x$ out of $2 x \cdot 2$ .

$\frac{x \cdot 1 + x (2 \cdot 2)}{2}$

Factor $x$ out of $x \cdot 1 + x (2 \cdot 2)$ .

$\frac{x (1 + 2 \cdot 2)}{2}$

Multiply $2$ by $2$ .

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

Add $1$ and $4$ .

$\frac{x \cdot 5}{2}$

Move $5$ to the left of $x$ .

$\frac{5 x}{2}$