Solve 3/10-x=1/30

$$\frac { 3 } { 10 } - x = \frac { 1 } { 30 }$$

Solve for x

$$x=\frac{4}{15}\approx 0.266666667$$

Steps for Solving Linear Equation

Subtract \frac{3}{10} from both sides.

$$-x=\frac{1}{30}-\frac{3}{10}$$

Least common multiple of 30 and 10 is 30. Convert \frac{1}{30} and \frac{3}{10} to fractions with denominator 30.

$$-x=\frac{1}{30}-\frac{9}{30}$$

Since \frac{1}{30} and \frac{9}{30} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{1-9}{30}$$

Subtract 9 from 1 to get -8.

$$-x=\frac{-8}{30}$$

Reduce the fraction \frac{-8}{30} to lowest terms by extracting and canceling out 2.

$$-x=-\frac{4}{15}$$

Multiply both sides by -1.

$$x=\frac{4}{15}$$