Solve 3x+1/5=2/3

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

Solve for x

$$x=\frac{7}{45}\approx 0.155555556$$

Steps for Solving Linear Equation

Subtract \frac{1}{5} from both sides.

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

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

$$3x=\frac{10}{15}-\frac{3}{15}$$

Since \frac{10}{15} and \frac{3}{15} have the same denominator, subtract them by subtracting their numerators.

$$3x=\frac{10-3}{15}$$

Subtract 3 from 10 to get 7.

$$3x=\frac{7}{15}$$

Divide both sides by 3.

$$x=\frac{\frac{7}{15}}{3}$$

Express \frac{\frac{7}{15}}{3} as a single fraction.

$$x=\frac{7}{15\times 3}$$

Multiply 15 and 3 to get 45.

$$x=\frac{7}{45}$$