Solve 1/3=2x-1/2

$$\frac { 1 } { 3 } = 2 x - \frac { 1 } { 2 }$$

Solve for x

$$x=\frac{5}{12}\approx 0.416666667$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$2x-\frac{1}{2}=\frac{1}{3}$$

Add \frac{1}{2} to both sides.

$$2x=\frac{1}{3}+\frac{1}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{1}{3} and \frac{1}{2} to fractions with denominator 6.

$$2x=\frac{2}{6}+\frac{3}{6}$$

Since \frac{2}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$2x=\frac{2+3}{6}$$

Add 2 and 3 to get 5.

$$2x=\frac{5}{6}$$

Divide both sides by 2.

$$x=\frac{\frac{5}{6}}{2}$$

Express \frac{\frac{5}{6}}{2} as a single fraction.

$$x=\frac{5}{6\times 2}$$

Multiply 6 and 2 to get 12.

$$x=\frac{5}{12}$$