Answer
The number is $4$.
Work Step by Step
Let $x$ be the unknown number.
Then twice the number is $2x$ and half the number is $\frac{x}{2}$.
Thus, the equation needed to find the unknown number is:
$$2x+\frac{x}{2}=10$$
Solve the equation:
$$\begin{align*}
2\left(2x+\frac{x}{2}\right)&=2(10) &\text{Multiply 2 to both sides.}\\
2(2x)+2\left(\frac{x}{2}\right)&=20 &\text{Apply the Distributive Property.}\\
4x+x&=20 &\text{Simplify.}\\
5x&=20 &\text{Combine like terms.}\\
\frac{5x}{5}&=\frac{20}{5} &\text{Divide 5 to both sides.}\\
x&=4 &\text{Simplify.}
\end{align*}$$
Thus, the number is $4$.
