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

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

Solve for x

$$x=\frac{8}{45}\approx 0.177777778$$

Steps for Solving Linear Equation

Add x to both sides.

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

Combine 2x and x to get 3x.

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

Add \frac{1}{3} to both sides.

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

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

$$3x=\frac{3}{15}+\frac{5}{15}$$

Since \frac{3}{15} and \frac{5}{15} have the same denominator, add them by adding their numerators.

$$3x=\frac{3+5}{15}$$

Add 3 and 5 to get 8.

$$3x=\frac{8}{15}$$

Divide both sides by 3.

$$x=\frac{\frac{8}{15}}{3}$$

Express \frac{\frac{8}{15}}{3} as a single fraction.

$$x=\frac{8}{15\times 3}$$

Multiply 15 and 3 to get 45.

$$x=\frac{8}{45}$$