Solve 2x+1/2=2/3

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

Solve for x

$$x=\frac{1}{12}\approx 0.083333333$$

Steps for Solving Linear Equation

Subtract \frac{1}{2} from both sides.

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

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

$$2x=\frac{4}{6}-\frac{3}{6}$$

Since \frac{4}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{4-3}{6}$$

Subtract 3 from 4 to get 1.

$$2x=\frac{1}{6}$$

Divide both sides by 2.

$$x=\frac{\frac{1}{6}}{2}$$

Express \frac{\frac{1}{6}}{2} as a single fraction.

$$x=\frac{1}{6\times 2}$$

Multiply 6 and 2 to get 12.

$$x=\frac{1}{12}$$