Solve 6*3/2x+1/5=1/3

$$6 \cdot \frac { 3 } { 2 } x + \frac { 1 } { 5 } = \frac { 1 } { 3 }$$

Solve for x

$$x=\frac{2}{135}\approx 0.014814815$$

Steps for Solving Linear Equation

Express 6\times \frac{3}{2} as a single fraction.

$$\frac{6\times 3}{2}x+\frac{1}{5}=\frac{1}{3}$$

Multiply 6 and 3 to get 18.

$$\frac{18}{2}x+\frac{1}{5}=\frac{1}{3}$$

Divide 18 by 2 to get 9.

$$9x+\frac{1}{5}=\frac{1}{3}$$

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

$$9x=\frac{1}{3}-\frac{1}{5}$$

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

$$9x=\frac{5}{15}-\frac{3}{15}$$

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

$$9x=\frac{5-3}{15}$$

Subtract 3 from 5 to get 2.

$$9x=\frac{2}{15}$$

Divide both sides by 9.

$$x=\frac{\frac{2}{15}}{9}$$

Express \frac{\frac{2}{15}}{9} as a single fraction.

$$x=\frac{2}{15\times 9}$$

Multiply 15 and 9 to get 135.

$$x=\frac{2}{135}$$