Solve 5x-5/6=5/12

$$5 x - \frac { 5 } { 6 } = \frac { 5 } { 12 }$$

Solve for x

$$x=\frac{1}{4}=0.25$$

Steps for Solving Linear Equation

Add \frac{5}{6} to both sides.

$$5x=\frac{5}{12}+\frac{5}{6}$$

Least common multiple of 12 and 6 is 12. Convert \frac{5}{12} and \frac{5}{6} to fractions with denominator 12.

$$5x=\frac{5}{12}+\frac{10}{12}$$

Since \frac{5}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$5x=\frac{5+10}{12}$$

Add 5 and 10 to get 15.

$$5x=\frac{15}{12}$$

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

$$5x=\frac{5}{4}$$

Divide both sides by 5.

$$x=\frac{\frac{5}{4}}{5}$$

Express \frac{\frac{5}{4}}{5} as a single fraction.

$$x=\frac{5}{4\times 5}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{1}{4}$$