Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$$x=\frac{1}{12}$$
To solve the equation, we first get the variable on one side of the equation. Next, we continue to simplify until the variable is all by itself. Doing this, we find: $$\frac{1}{3}+2x=\frac{1}{2}\\ 2x=\frac{1}{6}\\ x=\frac{1}{12}$$