Solve 3x-1/4=1/5

$$3 x - \frac { 1 } { 4 } = \frac { 1 } { 5 }$$

Solve for x

$$x=\frac{3}{20}=0.15$$

Steps for Solving Linear Equation

Add \frac{1}{4} to both sides.

$$3x=\frac{1}{5}+\frac{1}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{1}{5} and \frac{1}{4} to fractions with denominator 20.

$$3x=\frac{4}{20}+\frac{5}{20}$$

Since \frac{4}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$3x=\frac{4+5}{20}$$

Add 4 and 5 to get 9.

$$3x=\frac{9}{20}$$

Divide both sides by 3.

$$x=\frac{\frac{9}{20}}{3}$$

Express \frac{\frac{9}{20}}{3} as a single fraction.

$$x=\frac{9}{20\times 3}$$

Multiply 20 and 3 to get 60.

$$x=\frac{9}{60}$$

Reduce the fraction \frac{9}{60} to lowest terms by extracting and canceling out 3.

$$x=\frac{3}{20}$$