Solve 5x+2/3=1/3

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

Solve for x

$$x=-\frac{1}{15}\approx -0.066666667$$

Steps for Solving Linear Equation

Subtract \frac{2}{3} from both sides.

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

Since \frac{1}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 2 from 1 to get -1.

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

Divide both sides by 5.

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

Express \frac{-\frac{1}{3}}{5} as a single fraction.

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

Multiply 3 and 5 to get 15.

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

Fraction \frac{-1}{15} can be rewritten as -\frac{1}{15} by extracting the negative sign.

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