Solve x+2/5-1/3=1/5

$$x + \frac { 2 } { 5 } - \frac { 1 } { 3 } = \frac { 1 } { 5 }$$

Solve for x

$$x=\frac{2}{15}\approx 0.133333333$$

Steps for Solving Linear Equation

Least common multiple of 5 and 3 is 15. Convert \frac{2}{5} and \frac{1}{3} to fractions with denominator 15.

$$x+\frac{6}{15}-\frac{5}{15}=\frac{1}{5}$$

Since \frac{6}{15} and \frac{5}{15} have the same denominator, subtract them by subtracting their numerators.

$$x+\frac{6-5}{15}=\frac{1}{5}$$

Subtract 5 from 6 to get 1.

$$x+\frac{1}{15}=\frac{1}{5}$$

Subtract \frac{1}{15} from both sides.

$$x=\frac{1}{5}-\frac{1}{15}$$

Least common multiple of 5 and 15 is 15. Convert \frac{1}{5} and \frac{1}{15} to fractions with denominator 15.

$$x=\frac{3}{15}-\frac{1}{15}$$

Since \frac{3}{15} and \frac{1}{15} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{3-1}{15}$$

Subtract 1 from 3 to get 2.

$$x=\frac{2}{15}$$