Solve x-1/3-1/6=30

$$x - \frac { 1 } { 3 } - \frac { 1 } { 6 } = 30$$

Solve for x

$$x = \frac{61}{2} = 30\frac{1}{2} = 30.5$$

Steps for Solving Linear Equation

Least common multiple of 3 and 6 is 6. Convert -\frac{1}{3} and \frac{1}{6} to fractions with denominator 6.

$$x-\frac{2}{6}-\frac{1}{6}=30$$

Since -\frac{2}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$x+\frac{-2-1}{6}=30$$

Subtract 1 from -2 to get -3.

$$x+\frac{-3}{6}=30$$

Reduce the fraction \frac{-3}{6} to lowest terms by extracting and canceling out 3.

$$x-\frac{1}{2}=30$$

Add \frac{1}{2} to both sides.

$$x=30+\frac{1}{2}$$

Convert 30 to fraction \frac{60}{2}.

$$x=\frac{60}{2}+\frac{1}{2}$$

Since \frac{60}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$x=\frac{60+1}{2}$$

Add 60 and 1 to get 61.

$$x=\frac{61}{2}$$